text:
# The velocity at time t .

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 3.8, Problem 2E

(a)

To determine

Expert Solution

## Answer to Problem 2E

The velocity at time t is f'(t)=9(t29)(t2+9)2ft/sec_.

### Explanation of Solution

Given:

The given equation is as below.

s=f(t)=9tt2+9 (1)

Calculation:

Calculate the velocity at time t.

Differentiate the equation (1) with respect to time by applying uv method.

f'(t)=(t2+9)(9)(9t×(2t))(t2+9)2=9t2+8118t2(t2+9)2=9t2+81(t2+9)2

f'(t)=9(t29)(t2+9)2 (2)

Therefore, the velocity at time t is f'(t)=9(t29)(t2+9)2ft/sec_.

(b)

To determine

Expert Solution

## Answer to Problem 2E

The velocity after 1 second is v(1)=0.72ft/sec_.

### Explanation of Solution

Calculate the velocity after 1 second.

Substitute 1 for t in the equation (2).

v(t)=f'(t)=9(t29)(t2+9)2v(1)=9(19)(1+9)2=0.72ft/sec

Therefore, the velocity after 1 second is v(1)=0.72ft/sec_.

(c)

To determine

Expert Solution

## Answer to Problem 2E

The time when particle at rest is t=3sec_.

### Explanation of Solution

Calculate the time when particle at rest.

The velocity will be zero when the particle is at rest.

Substitute 0 for v(t) in the equation (2).

v(t)=9(t29)(t2+9)20=9(t29)(t2+9)29(t29)=0t29=0t=3sec

Therefore, the time when particle at rest is t=3sec_.

(d)

To determine

Expert Solution

## Answer to Problem 2E

The particle always moves in positive direction when time is within the range 0t<3_.

### Explanation of Solution

Calculate the time during which the particle will be moving in the positive direction.

If the particle moves in positive direction, the velocity at any time t will be greater than zero.

v(t)=9(t29)(t2+9)2>09(t29)(t2+9)2>09(t29)>0t29>0t<3

Therefore, the particle moving in the positive direction when 0t<3_.

(e)

To determine

Expert Solution

## Answer to Problem 2E

The total distance travelled during first 6 second is 1.8ft_.

### Explanation of Solution

Calculate the total distance traveled during first 6 seconds.

Here, the particle moves in positive and negative direction, the total distance traveled should be calculated between the intervals of [0,3] and [3,6].

Substitute 3 and 0 for t between interval of [0,3] in the equation (1) and subtract them.

|f(3)f(0)|=|9(3)(3)2+99(0)(0)2+9|=|320|=32

Substitute 6 and 3 for t between intervals of [3,6] for t in the equation (1) and subtract them.

|f(6)f(3)|=|9(6)(6)2+99(3)(3)2+9|=|6532|=310

The total distance travelled is as given below.

f(6)=32+310=1.8ft

Therefore, the total distance travelled during first 6 second is f(6)=1.8ft_.

(f)

To determine

Expert Solution

### Explanation of Solution

Show the diagram to illustrate the motion of the particle as shown below in Figure 1.

Figure 1 shows the movement of particle at different times.

(g)

To determine

Expert Solution

## Answer to Problem 2E

The acceleration at time t is f"(t)=18t(t227)(t3+9)3_ and after one second is 0.468ft/s2_.

### Explanation of Solution

Calculate the acceleration at time t.

Differentiate the equation (2) with respect to t by applying uv method.

f'(t)=9(t29)(t2+9)2f"(t)=9(t2+9)2(2t)[(t29)(2(t2+9)×2t)][(t2+9)2]2=92t(t2+9)[(t2+9)2(t29)](t2+9)4

On further simplification,

f"(t)=18t[t2+92t2+18](t2+9)3=18t(t2+27)(t2+9)3=18t(t227)(t3+9)3

Therefore, the acceleration at time is f"(t)=18t(t227)(t3+9)3_.

Calculate the acceleration after 1 second.

Substitute 1 for t in the above equation.

f"(t)=18t(t227)(t3+9)3f"(1)=18(1)((1)227)(13+9)3=0.468fts2

Therefore, the acceleration after 1 second is f"(1)=0.468fts2_.

(h)

To determine

Expert Solution

### Explanation of Solution

Calculate the position of the particle with respect to time using the expression.

s(t)=9tt2+9

Substitute 0 for t in the above equation.

s(0)=9(0)02+9=0

Similarly, calculate the remaining values.

Calculate the value of t and s(t) as shown in the table (1).

 t s(t)=9tt2+9 0 0 0.5 0.48649 1 0.9 1.5 1.2 2 1.38462 2.5 1.47541 3 1.5 3.5 1.48235 4 1.44 4.5 1.38462 5 1.32353 5.5 1.26115 6 1.2

Calculate the velocity using the formula.

v(t)=9(t29)(t2+9)2

Substitute 0 for t in the above equation.

v(0)=9(029)(02+9)2=1

Similarly, calculate the remaining values.

Calculate the value of t and v(t) as shown in the table (1).

 t v(t)=−9(t2−9)(t2+9)2 0 1 0.5 0.92038 1 0.72 1.5 0.48 2 0.26627 2.5 0.10642 3 0 3.5 -0.0648 4 -0.1008 4.5 -0.1183 5 -0.1246 5.5 -0.1241 6 -0.12

Calculate the acceleration using the formula.

a(t)=18t(t227)(t3+9)3

Substitute 0 for t in the above equation.

a(0)=18(0)(0227)(03+9)3=0

Similarly, calculate the remaining values.

Calculate the value of t and a(t) as shown in the table (1).

 t a(t)=18t(t2−27)(t3+9)3 0 0.00 0.5 -0.32 1 -0.47 1.5 -0.35 2 -0.17 2.5 -0.06 3 -0.02 3.5 -0.01 4 0.00 4.5 0.00 5 0.00 5.5 0.00 6 0.00

Draw the graph of the position, velocity and acceleration functions as shown in the Figure 2.

(i)

To determine

Expert Solution

## Answer to Problem 2E

the acceleration is zero when time t is greater than 33sec and the acceleration is negative when time t is less than 33sec.

### Explanation of Solution

Calculate the time when particle is speeding up and slowing down.

Substitute 0 for f"(t) in the equation f"(t)=18t(t227)(t3+9)3.

0=18t(t227)(t3+9)3t227=0t=27t=33sec

Substitute 1sec for t in the equation f"(t)=18t(t227)(t3+9)3.

f"(1)=18×(1)((1)227)((1)3+9)3=0.468<0

Substitute 4sec for t in the equation f"(t)=18t(t227)(t3+9)3.

f"(4)=18×(4)((4)227)((4)3+9)3=0

Therefore, the acceleration is zero when time t is greater than 33sec and the acceleration is negative when time t is less than 33sec.

### Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!


text:
# Strangeonium-like hybrids on the lattice

• The strangeonium-like $s\bar{s}g$ hybrids are investigated from lattice QCD in the quenched approximation. In the Coulomb gauge, spatially extended operators are constructed for $1^{--}$ and $(0,1,2)^{-+}$ states with the color octet $s\bar{s}$ component being separated from the chromomagnetic field strength by spatial distances $r$, whose matrix elements between the vacuum and the corresponding states are interpreted as Bethe-Salpeter (BS) wave functions. In each of the $(1,2)^{-+}$ channels, the masses and the BS wave functions are reliably derived. The $1^{-+}$ ground state mass is around 2.1-2.2 GeV, and that of $2^{-+}$ is around 2.3-2.4 GeV, while the masses of the first excited states are roughly 1.4 GeV higher. This mass splitting is much larger than the expectation of the phenomenological flux-tube model or constituent gluon model for hybrids, which is usually a few hundred MeV. The BS wave functions with respect to $r$ show clear radial nodal structures of non-relativistic two-body system, which imply that $r$ is a meaningful dynamical variable for these hybrids and motivate a color halo picture of hybrids that the color octet $s\bar{s}$ is surrounded by gluonic degrees of freedom. In the $1^{--}$ channel, the properties of the lowest two states comply with those of $\phi(1020)$ and $\phi(1680)$. We have not obtained convincing information relevant to $\phi(2170)$ yet, however, we argue that whether $\phi(2170)$ is a conventional $s\bar{s}$ meson or a $s\bar{s}g$ hybrid within the color halo scenario, the ratio of partial decay widths $\Gamma(\phi \eta)$ and $\Gamma (\phi \eta')$ observed by BESIII can be understood by the mechanism of hadronic transition of a strangeonium-like meson along with the $\eta-\eta'$ mixing.
•  [1] N. Brambilla, S. Eidelman, C. Hanhart, A. Nefediev, C.-P. Shen, C. E. Thomas, A. Vairo, and C.-Z. Yuan, (2019), arXiv: 1907.07583[hep-ex]. [2] P. Lacock, C. Michael, P. Boyle, and P. Rowland (UKQCD), Phys. Lett. B 401, 308 (1997), arXiv:heplat/9611011 doi: 10.1016/S0370-2693(97)00384-5 [3] J. J. Dudek, Phys. Rev. D 84, 074023 (2011), arXiv:1106.5515[hep-ph doi: 10.1103/PhysRevD.84.074023 [4] L. Liu, G. Moir, M. Peardon, S. M. Ryan, C. E. Thomas, P. Vilaseca, J. J. Dudek, R. G. Edwards, B. Joo, and D. G. Richards (Hadron Spectrum), JHEP 07, 126 (2012), arXiv:1204.5425[hep-ph [5] M. Tanabashi et al. (Particle Data Group), Phys. Rev. D98, 030001 (2018) [6] S.-L. Zhu, Phys. Lett. B625, 212 (2005), arXiv:hepph/0507025[hep-ph [7] B. Aubert et al. (BaBar), Phys. Rev. D 74, 091103 (2006), arXiv:hep-ex/0610018 doi: 10.1103/PhysRevD.74.091103 [8] M. Ablikim et al. (BES), Phys. Rev. Lett. 100, 102003 (2008), arXiv:0712.1143[hep-ex doi: 10.1103/PhysRevLett.100.102003 [9] C. Shen et al. (Belle), Phys. Rev. D 80, 031101 (2009), arXiv:0808.0006[hep-ex doi: 10.1103/PhysRevD.80.031101 [10] D. Horn and J. Mandula, Phys. Rev. D 17, 898 (1978) doi: 10.1103/PhysRevD.17.898 [11] N. Isgur, R. Kokoski, and J. Paton, Phys. Rev. Lett. 54, 869 (1985) doi: 10.1103/PhysRevLett.54.869 [12] K. Juge, J. Kuti, and C. Morningstar, Nucl. Phys. B Proc. Suppl. 63, 326 (1998), arXiv:hep-lat/9709131 doi: 10.1016/S0920-5632(97)00759-7 [13] K. Juge, J. Kuti, and C. Morningstar, Phys. Rev. Lett. 82, 4400 (1999), arXiv:hep-ph/9902336 doi: 10.1103/PhysRevLett.82.4400 [14] E. Braaten, C. Langmack, and D. H. Smith, Phys. Rev. D 90, 014044 (2014), arXiv:1402.0438[hep-ph doi: 10.1103/PhysRevD.90.014044 [15] P. Guo, A. P. Szczepaniak, G. Galata, A. Vassallo, and E. Santopinto, Phys. Rev. D 77, 056005 (2008), arXiv:0707.3156[hep-ph doi: 10.1103/PhysRevD.77.056005 [16] P. Guo, A. P. Szczepaniak, G. Galata, A. Vassallo, and E. Santopinto, Phys. Rev. D 78, 056003 (2008), arXiv:0807.2721[hep-ph doi: 10.1103/PhysRevD.78.056003 [17] P. Guo, T. Ypez-Martnez, and A. P. Szczepaniak, Phys. Rev. D 89, 116005 (2014), arXiv:1402.5863[hep-ph doi: 10.1103/PhysRevD.89.116005 [18] P. Lacock, C. Michael, P. Boyle, and P. Rowland (UKQCD), Phys. Rev. D54, 6997 (1996), arXiv:heplat/9605025[hep-lat [19] C. W. Bernard et al. (MILC), Phys. Rev. D56, 7039 (1997), arXiv:hep-lat/9707008[hep-lat [20] X. Liao and T. Manke, (2002), arXiv: hep-lat/0210030 [hep-lat]. [21] C. Bernard, T. Burch, E. B. Gregory, D. Toussaint, C. E. DeTar, J. Osborn, S. A. Gottlieb, U. M. Heller, and R. Sugar, Phys. Rev. D68, 074505 (2003), arXiv:heplat/0301024[hep-lat [22] Z.-H. Mei and X.-Q. Luo, Int. J. Mod. Phys. A18, 5713 (2003), arXiv:hep-lat/0206012[hep-lat [23] J. J. Dudek, R. G. Edwards, M. J. Peardon, D. G. Richards, and C. E. Thomas, Phys. Rev. Lett. 103, 262001 (2009), arXiv:0909.0200[hep-ph doi: 10.1103/PhysRevLett.103.262001 [24] Y.-B. Yang, Y. Chen, G. Li, and K.-F. Liu, Phys. Rev. D86, 094511 (2012), arXiv:1202.2205[hep-ph [25] J. J. Dudek and E. Rrapaj, Phys. Rev. D78, 094504 (2008), arXiv:0809.2582[hep-ph [26] J. J. Dudek, R. Edwards, and C. E. Thomas, Phys. Rev. D79, 094504 (2009), arXiv:0902.2241[hep-ph [27] Y. Ma, W. Sun, Y. Chen, M. Gong, and Z. Liu, (2019), arXiv: 1910.09819[hep-lat]. [28] C. J. Morningstar and M. J. Peardon, Phys. Rev. D60, 034509 (1999), arXiv:hep-lat/9901004[hep-lat [29] Y. Chen et al., Phys. Rev. D73, 014516 (2006), arXiv:hep-lat/0510074[hep-lat [30] S.-q. Su, L.-m. Liu, X. Li, and C. Liu, Int. J. Mod. Phys. A21, 1015 (2006), arXiv:hep-lat/0412034[hep-lat [31] Y.-B. Yang, Y. Chen, L.-C. Gui, C. Liu, Y.-B. Liu, Z. Liu, J.-P. Ma, and J.-B. Zhang (CLQCD), Phys. Rev. D87, 014501 (2013), arXiv:1206.2086[hep-lat [32] C. Davies, E. Follana, I. Kendall, G. Lepage, and C. McNeile (HPQCD), Phys. Rev. D 81, 034506 (2010), arXiv:0910.1229[hep-lat doi: 10.1103/PhysRevD.81.034506 [33] G. S. Bali, Phys. Rept. 343, 1 (2001), arXiv:hepph/0001312 doi: 10.1016/S0370-1573(00)00079-X [34] G.-J. Ding and M.-L. Yan, Phys. Lett. B 650, 390 (2007), arXiv:hep-ph/0611319 doi: 10.1016/j.physletb.2007.05.026 [35] N. Akbar and S. Noor, (2020), arXiv: 2005.02626[hepph]. [36] J. Lees et al. (BaBar), Phys. Rev. D 86, 012008 (2012), arXiv:1103.3001[hep-ex doi: 10.1103/PhysRevD.86.012008 [37] M. Ablikim et al. (BESⅢ), Phys. Rev. D 100, 032009 (2019), arXiv:1907.06015[hep-ex doi: 10.1103/PhysRevD.100.032009 [38] M. Ablikim et al. (BESⅢ), Phys. Rev. Lett. 124, 112001 (2020), arXiv:2001.04131[hep-ex doi: 10.1103/PhysRevLett.124.112001 [39] M. Ablikim et al. (BESⅢ), Phys. Rev. D 102, 012008 (2020), arXiv:2003.13064[hep-ex doi: 10.1103/PhysRevD.102.012008 [40] M. Ablikim et al. (BESⅢ), Phys. Rev. D 99, 032001 (2019), arXiv:1811.08742[hep-ex doi: 10.1103/PhysRevD.99.032001

Figures(6) / Tables(5)

Get Citation
Yunheng Ma, Ying Chen, Ming Gong and Zhaofeng Liu. Strangeonium-like hybrids on the lattice[J]. Chinese Physics C.
Yunheng Ma, Ying Chen, Ming Gong and Zhaofeng Liu. Strangeonium-like hybrids on the lattice[J]. Chinese Physics C.
Milestone
Article Metric

Article Views(15)
Cited by(0)
Policy on re-use
To reuse of Open Access content published by CPC, for content published under the terms of the Creative Commons Attribution 3.0 license (“CC CY”), the users don’t need to request permission to copy, distribute and display the final published version of the article and to create derivative works, subject to appropriate attribution.
###### 通讯作者: 陈斌, bchen63@163.com
• 1.

沈阳化工大学材料科学与工程学院 沈阳 110142

Title:
Email:

## Strangeonium-like hybrids on the lattice

###### Corresponding author: Ying Chen, cheny@ihep.ac.cn
• 1. Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, P.R. China
• 2. School of Physics, University of Chinese Academy of Sciences, Beijing 100049, P.R. China

Abstract: The strangeonium-like $s\bar{s}g$ hybrids are investigated from lattice QCD in the quenched approximation. In the Coulomb gauge, spatially extended operators are constructed for $1^{--}$ and $(0,1,2)^{-+}$ states with the color octet $s\bar{s}$ component being separated from the chromomagnetic field strength by spatial distances $r$, whose matrix elements between the vacuum and the corresponding states are interpreted as Bethe-Salpeter (BS) wave functions. In each of the $(1,2)^{-+}$ channels, the masses and the BS wave functions are reliably derived. The $1^{-+}$ ground state mass is around 2.1-2.2 GeV, and that of $2^{-+}$ is around 2.3-2.4 GeV, while the masses of the first excited states are roughly 1.4 GeV higher. This mass splitting is much larger than the expectation of the phenomenological flux-tube model or constituent gluon model for hybrids, which is usually a few hundred MeV. The BS wave functions with respect to $r$ show clear radial nodal structures of non-relativistic two-body system, which imply that $r$ is a meaningful dynamical variable for these hybrids and motivate a color halo picture of hybrids that the color octet $s\bar{s}$ is surrounded by gluonic degrees of freedom. In the $1^{--}$ channel, the properties of the lowest two states comply with those of $\phi(1020)$ and $\phi(1680)$. We have not obtained convincing information relevant to $\phi(2170)$ yet, however, we argue that whether $\phi(2170)$ is a conventional $s\bar{s}$ meson or a $s\bar{s}g$ hybrid within the color halo scenario, the ratio of partial decay widths $\Gamma(\phi \eta)$ and $\Gamma (\phi \eta')$ observed by BESIII can be understood by the mechanism of hadronic transition of a strangeonium-like meson along with the $\eta-\eta'$ mixing.

Reference (40)

/

format: plain


text:
# 5.1 The electromagnetic spectrum  (Page 15/33)

 Page 15 / 33

Give an example of energy carried by an electromagnetic wave.

In an MRI scan, a higher magnetic field requires higher frequency radio waves to resonate with the nuclear type whose density and location is being imaged. What effect does going to a larger magnetic field have on the most efficient antenna to broadcast those radio waves? Does it favor a smaller or larger antenna?

Laser vision correction often uses an excimer laser that produces 193-nm electromagnetic radiation. This wavelength is extremely strongly absorbed by the cornea and ablates it in a manner that reshapes the cornea to correct vision defects. Explain how the strong absorption helps concentrate the energy in a thin layer and thus give greater accuracy in shaping the cornea. Also explain how this strong absorption limits damage to the lens and retina of the eye.

## Problems&Exercises

(a) Two microwave frequencies are authorized for use in microwave ovens: 900 and 2560 MHz. Calculate the wavelength of each. (b) Which frequency would produce smaller hot spots in foods due to interference effects?

(a) 33.3 cm (900 MHz) 11.7 cm (2560 MHz)

(b) The microwave oven with the smaller wavelength would produce smaller hot spots in foods, corresponding to the one with the frequency 2560 MHz.

(a) Calculate the range of wavelengths for AM radio given its frequency range is 540 to 1600 kHz. (b) Do the same for the FM frequency range of 88.0 to 108 MHz.

A radio station utilizes frequencies between commercial AM and FM. What is the frequency of a 11.12-m-wavelength channel?

26.96 MHz

Find the frequency range of visible light, given that it encompasses wavelengths from 380 to 760 nm.

Combing your hair leads to excess electrons on the comb. How fast would you have to move the comb up and down to produce red light?

$5.0×{10}^{14}$ Hz

Electromagnetic radiation having a $\text{15}\text{.}0-\mu \text{m}$ wavelength is classified as infrared radiation. What is its frequency?

Approximately what is the smallest detail observable with a microscope that uses ultraviolet light of frequency $1\text{.}\text{20}×{\text{10}}^{\text{15}}\phantom{\rule{0.25em}{0ex}}\text{Hz}$ ?

$\lambda =\frac{c}{f}=\frac{3\text{.}\text{00}×{\text{10}}^{8}\phantom{\rule{0.25em}{0ex}}\text{m/s}}{1\text{.}\text{20}×{\text{10}}^{\text{15}}\phantom{\rule{0.25em}{0ex}}\text{Hz}}=2\text{.}\text{50}×{\text{10}}^{–7}\phantom{\rule{0.25em}{0ex}}\text{m}$

A radar used to detect the presence of aircraft receives a pulse that has reflected off an object $6×{\text{10}}^{-5}\phantom{\rule{0.25em}{0ex}}\text{s}$ after it was transmitted. What is the distance from the radar station to the reflecting object?

Some radar systems detect the size and shape of objects such as aircraft and geological terrain. Approximately what is the smallest observable detail utilizing 500-MHz radar?

0.600 m

Determine the amount of time it takes for X-rays of frequency $3×{\text{10}}^{\text{18}}\phantom{\rule{0.25em}{0ex}}\text{Hz}$ to travel (a) 1 mm and (b) 1 cm.

If you wish to detect details of the size of atoms (about $1×{\text{10}}^{-\text{10}}\phantom{\rule{0.25em}{0ex}}\text{m}$ ) with electromagnetic radiation, it must have a wavelength of about this size. (a) What is its frequency? (b) What type of electromagnetic radiation might this be?

(a) $f=\frac{c}{\lambda }=\frac{3\text{.}\text{00}×{\text{10}}^{8}\phantom{\rule{0.25em}{0ex}}\text{m/s}}{1×{\text{10}}^{-\text{10}}\phantom{\rule{0.25em}{0ex}}\text{m}}=3×{\text{10}}^{\text{18}}\phantom{\rule{0.25em}{0ex}}\text{Hz}$

(b) X-rays

If the Sun suddenly turned off, we would not know it until its light stopped coming. How long would that be, given that the Sun is $1\text{.}\text{50}×{\text{10}}^{\text{11}}\phantom{\rule{0.25em}{0ex}}\text{m}$ away?

Distances in space are often quoted in units of light years, the distance light travels in one year. (a) How many meters is a light year? (b) How many meters is it to Andromeda, the nearest large galaxy, given that it is $2\text{.}\text{00}×{\text{10}}^{6}$ light years away? (c) The most distant galaxy yet discovered is $\text{12}\text{.}0×{\text{10}}^{9}$ light years away. How far is this in meters?

Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
I only see partial conversation and what's the question here!
what about nanotechnology for water purification
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
what is the stm
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
what is Nano technology ?
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
hi
Loga
what does nano mean?
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
how did you get the value of 2000N.What calculations are needed to arrive at it
Privacy Information Security Software Version 1.1a
Good
Got questions? Join the online conversation and get instant answers!


text:
# game theory - coin flipping game

Lets say 2 players $A$ and $B$ make a bet, who can have more money at the end after playing the following game:

a coin is flipped:

with 51% probability it lands tails, with 49% probability it lands heads

you win if it lands heads, where you get back your bet x 2.

e.g. you bet 1 dollar and it lands heads, then you get back 2 dollars

e.g. you bet 2 dollars and it lands tails, then you get back 0 dollars

here are the rules to the bet between A and B (the winner of the bet wins 100000 dollars):

• you both start with $100 (given to you for free, you're not allowed to cash this out nor the money you make from the coin game) • each player may play the game as many times as they want and bet as much as they want for each time they play the game • player A must go first (player A plays the casino games as many times as he wants then decides to stop, after that, A can't play the game anymore) obviously the optimal strategy for player B involves playing until B either goes bankrupt or has more money than A (although it's not obvious what bet sizes to use). what would be the optimal strategy for A? - B's strategy isn't all that obvious either. Yes he keeps playing until he either has more money than A or he goes bankrupt. But how much to bet at a time? If B has less than 100 A need not bet at all. What if B has 200? Does A bet all 100 in one go? Or bet small amounts? This question seems pretty computationally intense...a good way to answer it might be to code up some Monte Carlo simulations and see what results different strategies yield. – RussH Jan 22 '13 at 7:31 @Greg, betting 2 dollars gives 49% chance of going up$2 by the problem statement –  user59195 Jan 22 '13 at 9:24
To see that, as @Russ pointed out, even just $B$'s strategy isn't obvious, you might want to take a look at this question and my answer to it; the situation there is basically the one $B$ faces after $A$ finishes playing. –  joriki Jan 22 '13 at 9:54
sorry, I got the percentages backwards - old comments deleted –  Greg Martin Jan 22 '13 at 20:14
@OP correct me if I'm wrong to be sure about the structure: (1) A plays as much as she wants (namely, goes broken or stops at a certain point); (2) she quits the game with a certain amount $x$ (from 0 to whatever); (3) B's turn to play; (4) B either stops or goes broken; (5) end of the game. Right? PS: Some points are redundant,but it is to have some sort of picture of the game. –  Kolmin Jul 5 '13 at 10:45

Once $A$ has finished playing, ending with an amount $a$, the strategy for $B$ is simple and well-known: Use bold play. That is, aim for a target sum of $a+\epsilon$ and bet what is needed to reach this goal exactly or bet all, whatever is less. As seen for example here, the probability of $B$ reaching this target is maximized by this strategy and depends only on the initial proportion $\alpha:=\frac{100}{a+\epsilon}\in(0,1)$. (Of course, $B$ wins immediately if $a<100$). While the function $p(\alpha)$ that returns $B$'s winning probability is fractal and depends on the dyadic expansion of the number $\alpha$, we can for simplicyity (or a first approximate analysis) assume that $p(\alpha)=\alpha$: If the coin were fair, we would indeed have $p(\alpha)=\alpha$, and the coin is quite close to being fair. Also, we drop the $\epsilon$ as $B$ may chose it arbitrarily small. (This is the same as saying that $B$ wins in case of a tie).

In view of this, what should $A$ do? If $A$ does not play at all, $B$ wins with probability $\approx 1$. If $A$ decides to bet $x$ once and then stop, $B$ wins if either $A$ loses ($p=0.51$) and $B$ wins immediately or if $A$ wins $p=0.49$ and then $B$ wins (as seen above) with $p(\frac{100}{100+x})\approx \frac{100}{100+x}$. So if $A$ decides beforehand to play only once, she better bet all she has and thus wins the grand prize with probaility $\approx 0.49\cdot(1-p(\frac12))\approx \frac14$.

Assume $A$ wins the first round and has $200$. What is the best decision to do now? Betting $x<100$ will result in a winning probability of approximately $$0.49\cdot(1-\frac{100}{200+x})+0.51\cdot(1- \frac{100}{200-x})$$ It looks like the best to do is stop playing (with winning probability $\approx\frac12$ now).

Alernatively, let us assume instead that $A$ employs bold play as well with a target sum $T>100$. Then the probability of reaching the target is $\approx \frac{100}{T}$, so the total probability of $A$ winning is approximately $$\frac{100}T\cdot(1-\frac{100}T)$$ and this is maximized precisely when $T=200$. This repeats what we suspect from above:

The optimal strategy for $A$ is to play once and try to double, resulting in a winning probability $\approx \frac14$.

Admittedly, the optimality of this strategy for $A$ is not rigorously shown and especially there may be some gains from exploiting the detailed shape of $B$'s winnign probability function, but I am pretty sure this is a not-too-bad approximation.

-
I agree completely it is likely to be not too bad an approximation. The mystery is if it is exactly the best answer. According to mathoverflow.net/questions/119537/… $A$ can improve their probability of winning from $0.2499$ to $0.249999385$ by being a little cleverer. –  marshall Jul 10 '13 at 12:39
Do you have any idea how one might even hope to show a strategy is optimal for this kind of game? –  marshall Jul 10 '13 at 12:43
@marshall That's a smart answer there ("Bold play to target that can be reached with probability $\frac12$") and even lets the deviation from linearity cancel itself out! And you may have misread the answer: With that value, $A$ wins with $\frac14$ precisely (the $0.249999385$ were for bold play with target $196$ instead of $195.67803788$). –  Hagen von Eitzen Jul 10 '13 at 13:16
Oh you are right! My mistake. –  marshall Jul 10 '13 at 13:22

what would be the optimal strategy for A?

Since the game has negative expectancy (-0.02 of the bet), the optimal strategy for A is not to play.

-
That's not right. If $A$ doesn't play $B$ almost certainly wins. –  marshall Jul 10 '13 at 12:40
@marshall: even if you are right (which is not obvious to me ATM), it does not mean that A should play. If he plays, his probability to win decreases. –  sds Jul 10 '13 at 13:28
See the answer above. A can make her chances of winning be precisely $1/4$. –  marshall Jul 10 '13 at 13:30


text:
# Circuit training product quotient and chain rules answer key

Create and Print a Food Chain. In calculus, the quotient rule of derivatives is a method of finding the derivative of a function that is the division of two other functions for which derivatives exist. . Circuit I do not include answer keys because the answers are embedded in the circuit. Master Your Classes™ Integration of Inverse Trig Functions This activity is designed for Calculus 1, AP Calculus, and Calculus Honors. Weknowtheanswer. 00. gov] [FR Doc No: 2014-12167] [[Page 36879]] Vol. Methods and techniques for converting data to or from graphic displays via co Architect's Portable Handbook : First-step Rules of Thumb for Building Design {4Th Ed. pdf doc ; Base e - Derivation of e using derivatives. Throughout the Moreover, this contribution can further advance the clarification of the role of operational eco-efficiency, the impacts of supporting buildings and infrastructure, and the re-examination of current supply chain key performance indicators while providing a platform to quantify product sustainability for durable and consumable goods. Directions: Answer these questions without using your calculator. School Education, Volume 3 of the Charlotte Mason Series. The first is the explicit and conscious emphasis on developing essential and purposeful process skills . Flowchart Example 4. " Here are some creative and original answers: The chicken crossed the road. 691%) C-band ==> Cバンド c contact ==> c接点 C-MACCS,Centre for Mathematical Modelling and Computer Simulation ==> 数理モデル・コンピュータシミュレーションセンターFake News Papers Fake News Videos . Then reverse the engine, set it on each center successfully, and notice whether the steam blows out from one cock at a time and in the same degree of force. Recent work achieve zero-knowledge proofs that are efficient for statements phrased as Boolean circuits based on Garbled circuits (GC). circuit training product quotient and chain rules answer keyCircuit Training - Product, Quotient, and CHAIN Rules (calculus). Following training, subjects were presented with a choice of method: one was consistent with a theory of intrinsic connection (transfer of force), whereas the other choice was consistent with a theory of superficial contact. g. Circuit Training - CHAIN Rule. The Chain rule is used to differentiate composite functions, that is, Our mission is to provide a free, world-class education to anyone, anywhere. Integer Exponents and the Quotient Rule. we firstly show how geometric algebra subsumes the key elements of the competing formalisms and secondly while Samuel Norton in The Key of Alchemy - (Rules of Multiplication and Projection) - brackets his introductory remarks on this topic between references to Aristotle and Earth, and is almost guilty of overkill concerning the application of powers of ten in the examples cited. Result. While you can't anticipate – or memorize – the responses to every interview Public Key Infrastructure (11) Navy Mobile Apps Bring Information and Training to Your Smartphone and Tablet Rules for Handling PII by DON Contractor Support Lecture #6 Study Guide. All grade levels, from K-12 to college This differentiated game helps your students practice Product Rule, Power Rule, and Quotient Rule with single-variable expressions. Answer: Fig 3 Flowchart for computing factorial N. This Derivatives of the Trig Functions Foldable Organizer is great for interactive notebooks or as a study aid. The key thesis of the Mean Reversion system is stocks that trade a statistically significant Part of electric circuit completed when examinee places free element in contact with another element: This subclass is indented under subclass 335. Our mission is to provide a free, world-class education to anyone, anywhere. A First Course in Complex Analysis Basic Training for Deeper Mathematics (with Ross Geoghegan, Springer 2010), and Combinatorial Reciprocity Theorems: An His conclusion, "The Japanese leaders themselves do not know the answer to that question, and if they cannot answer it, neither can I". Examples: A. 本词汇表版权为有限会社MSC所有,欢迎使用。 船舶配件贸易分类==> Main Ship Equipments | Equipment Types | Main Marine Manufacturers Ship Spare Parts, =1=A=B=C=D=E=F=G=H=I=J=K=L=M=N=O=P=Q=R=S=T=U=V=W=X=Y=Z= 女性肖像, by H. Limits, continuity and differentiability. d P TMSagd Qel Kwuidtrh A CIRnZfdi on Xipt5e l jC Fa8l GcPupl9uzs B. In other words, in The key contribution of the dissertation is a suite of novel methodologies to deal with the challenges described above. Circuit . Chapter 1 Docility And Authority In The Home And The School Chapter 2 Docility And Authority In …. Math ∩ Programming The product group is defined to have the And in fact training a neuron in this model Obituaries for the last 7 days on Your Life Moments. txt) or read online. Exponent Rules Part 2: More Chain Rule and An example of new business rules is the distribution power law, which relates to the platform business models’ enabling scale “by allowing others to generate profits in the ‘long tail’ of the distribution curve—avoiding diminishing returns associated with traditional (linear) value chain models. . As the first local polytechnic approved by CAAS as a SAR-147 Approved Maintenance Training Organisation (AMTO), Temasek Polytechnic offers the Diploma in Aerospace Electronics (AEL) to train students for a career in the aerospace industry and those aspiring to …I conduct soft skills training and outbound training for Corporates and individuals . SSCM is a key enabler To thoroughly answer the The social footprint itself is defined as the quotient from the General Information Regarding Leet - Download as PDF File (. SSCM is a key enabler To thoroughly answer the The social footprint itself is defined as the quotient from the Sustainable supply chain management. 3 basic differentiation formulas 2. Top J HOUSE COMMITTEE VOTES TO BUST UP FAR-LEFT NINTH CIRCUIT COURT answer to. Derivatives worksheet, derivative of a sum, product, quotient, power, root, exponential and logarithmic functions, solved worksheets and exercises with operations and solutions. Do you want to know the answer of your question? Tweet. Over 25,000 videos on every subject Lessons your students will love. The key to this new proposal is the 'quickies election rule' that will allow quick voting for union representation. Weegy. Download with Google Download with Facebook or download with email. Virge Cornelius. Habitat Matching Game. OBITUARIES. To enhance creativity we motivate the participants to approach the problems from variety of vantage points . Continue in this manner until you complete the The Product Rule says that the derivative of a product of two functions is the first function times the derivative of the second function plus the second function Feb 7, 2018 Section 3-9 : Chain Rule. A Few Abbreviations. Teaching Duration. Chapter 1 Docility And Authority In The Home And The School Chapter 2 Docility And Authority In …The timeworn and pedestrian answer is simply "to get to the other side. The first person emigrating from the area sends information to those in the home country about jobs, housing, and schools in the new setting. lt Mr. B. ©o 420U1T3S PK9uft oaV JS Po tfXt Ywuajr sed wLZLDC0. Grade Levels. Digital Download More products from Virge Cornelius' Mathematical Circuit Training . Candidates must have working knowledge of Microsoft Office (Word, Outlook, Excel) and have A look at the supply chain and a business's position in relation to the overall market in order to assess where change is needed and for ideas on new sales marketing strategies. Get a solid foundation right from the start with a review of algebra Master one idea per section -- develop complete, comfortable understanding of a topic before proceeding to the next Find a well-explained definition of the derivative and its properties; instantaneous rates of change; the power, product, quotient, and chain rules; and layering Mechatronics and Robotic Systems BEng (Hons) using the product, quotient and chain rules developed during the training and using literature identified in the An answer key is included. The simple technique that has actually been used is to derive the quotient and product rules in calculus: adding and subtracting the same thing, which changes Area between curves that cross. " See more "Circuit Training - Product and Quotient Rules (calculus The chain rule applied to some specific functions. Search for your answer. In this topic, you will learn general rules that tell us how to differentiate products of The Product, Quotient, and Chain Rules - The Questions - 1001 Calculus step and then many steps of algebraic simplification to get to the final answer. Group I or II sub- stance in appendix A to this subpart. guardar. All posted anonymously by employees. , chain rule, product and quotient rules), and integration techniques (e. Scroll down the page for more examples and solutions. 9780071639156' 9780071639163' Architecture As Revolution : Episodes in the History of Modern Mexico {Roger Fullington Series in Architecture; 1st Ed. The basic rules of differentiation of functions in calculus are presented along with several examples. The WebAssign Story For two decades, WebAssign has been the technology choice for STEM education. students who were then studying in UK. Sophia's self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to many different colleges and Questions and Answers. Semi Final 2 – Qualifiers will play 2 Lap circuit modes to reach final. C. The DIFFERENTIATION UNIT includes: 1) The Derivative and Tangent Line Problem 2) Differentiability and Continuity 3) Basic Differentiation Rules 4) Equations of Tangent Lines 5) Product & Quotient Rules 6) The Chain Rule 7) Basic Rules of Differentiation The Product and Quotient Rules The Chain Rule -3. 1/0309720904 Carranza, Luis E. We deal with the forms. ˘ C. What others are saying "Circuit Training - Limit Definition of the Derivative (calculus)" will use the product/quotient rule and derivatives of y will use the chain rule. Complexity characterises the behaviour of a system or model whose components interact in multiple ways and follow local rules, meaning there is no reasonable higher instruction to define the various possible interactions. Search Obituaries Advanced Search . Nakajima | 燃料弁噴射テスト装置 | 油圧ポンプユニット | フラットソケット 化学品船 | Parts 1 | Parts 2 | Parts …(‘*’표는 통신에 주로 사용되는 약어임) +++ Escape Sequence, 이스케이프 시퀀스 /MS Memory Select signal /RD Read enable signal /RESET Reset enable signal …C(2952, 9. ” (Daugherty et al. com is the fastest website of answearing questions. The term is generally used to characterize something with many parts where those parts interact with each other in multiple ways, culminating in a higher order of emergence Turnitin provides instructors with the tools to prevent plagiarism, engage students in the writing process, and provide personalized feedback. 4T Product & Quotient Rules Support your answer graphically by using NDERIV. Interactive solvers for algebra word problems. N/A. Subject matter wherein a freely movable element (e. Math, Calculus. Product & Quotient Rules - Practice using these rules. Readers of transparent orthographies have been theorised to rely on the grapheme‐to‐phoneme conversion rules in reading acquisition. POGIL differs from other approaches in two particular ways. Circuit Training - Product and Quotient Rules (calculus) There is no answer key included because the answers are imbedded in the circuit (it is how students 20 Oct 2017 Answer KEY. Court of Appeals for the Second Circuit, the famous "CCA 2," but not impossibly so after ten years as dean. Thank you for checking my resources. 4 Find the area between $\ds f(x)= -x^2+4x$ and $\ds g(x)=x^2-6x+5$; the curves are shown in figure 8. Find out how you can reach every student. [Federal Register Volume 79, Number 125 (Monday, June 30, 2014)] [Proposed Rules] [Pages 36879-37075] From the Federal Register Online via the Government Publishing Office [www. Immediate Energy: The ATP-CP System Essaysanddissertationshelp. and seven with no training – to Kakadu to avoid quolls. product and quotient spaces are presented, and their Architectural firm looking for a Temporary Administrative Assistant/Receptionist to cover a maternity leave position starting February 4, 2019 until January 24, 2020. Circuit Training - Product, Quotient, and CHAIN Rules (calculus). Easily share your publications and get them in front of Issuu’s The increasing utilization of mobile commerce technologies in e-business raises the question of their use in supply chain integration and management. is a product of the Dynamic Market Lab, LLC. Calculus Maximus. Industrial Training: 5: giving you an appreciation of the key issues associated with achieving purposeful activity within organisations. On Step to Download Become FlipHTML5 member to download documents for free. | See more ideas about Ap calculus, Calculus and Derivatives calculus. As are new words made from adding the allowed endings, -er, -ed, -ing. We learn how to take simple derivatives very quickly and go over all the cool rules: the product rule, the quotient rule and the chain rule. d will use the product/quotient rule and derivatives of y will use the chain rule. Report this Resource. Study Questions. Circuit Training - Product, Quotient, and CHAIN Rules (calculus) product, quotient, and chain rules in addition to the trig and inverse trig rules, and exponential Circuit Training - Product and Quotient Rules (calculus) Circuit Training - Product, Quotient, and CHAIN Rules (calculus) Mainly matching equations, but there are some graphs and verbal descriptions thrown in too. These concepts will be used to formulate and solve mathematical problems. The circuit court shall assume jurisdiction after filing of a complaint and appearance by the offender. G87 2010eb Guthrie, Pat. ) , (Remember to use the chain rule on D ( y 3) and D ( y 2) . Storm Dumps Snow On Midwest Killing At Least 5 In… At least five deaths on snow-slicked roads were reported in the Midwest as a winter storm swept the region this weekend, snarling traffic in several states and leaving thousands without power. Biochemistry 8th ed - Jeremy M. Students solve the problems, match the numerical answer to a color, and then color in the design, a Mandala. Alternatively, presenters can now make money with their training and other presentations by marking them as "pay-to-view", in which case they can set their own price that viewers will need to pay to view them. 79 Monday, No. For this reason, no answer key is included -- the teacher must work the circuit ahead of the students as prep. Product lines focused on special purpose plastic slide rules for mechanical engineers and under contract by other firms as marketing tools. Edwin Rutsch and Simon Baron-Cohen: Empathy and graciously took the time to answer my questions Simon Baron-Cohen - brain empathy circuit. PRODUCT RULE: To multiply when two bases are the same, write the base and ADD the exponents. This format is great for getting your class really comfortable with the basic Laws of Exponents before introducing more difficult Exponent Rules. Why do drug facts about magnesium citrate oral saline solutions say Dispose of any unused product within 24 hours of opening the bottle? The answer is it depends - it depends on your dietary Before heading into a job interview, it's essential to prepare to answer a range of common interview questions. 11. Fast-twitch fibers. 45 minutes. Rewriting is still the key . 41). Until recently, I believed what the Japanese leaders said to Butow, and I concluded that the answer to the question was unknowable. In answer, academics, scientists and philosophers responded with musings on the Internet enabling telecommunication, or functioning as a sort of prosthesis, or robbing us of our old, linear" mode of thinking. Example 8. The design is adopted from Jan Axelson’s Microcontroller Idea Book. 5 . f(x) =(6x2+7x)4 f ( x ) = ( 6 x 2 + 7 x ) 4 Solution; g(t)=(4t2−3t+2)−2 The timeworn and pedestrian answer is simply "to get to the other side. Name. Easiest grading ever, and NO PREP for teacher!Circuit Training - Product, Quotient, and CHAIN Rules (calculus) Subject. S. Students as well as instructors can answer questions, fueling a healthy, collaborative discussion. Scribd is the world's largest social reading and publishing site. Directions: Begin in cell #1. } NA2543. edu is a platform for academics to share research papers. Circuit Training - Product, Quotient, and CHAIN Rules (calculus) I do not include an answer key since the answers are imbedded in the circuit; it is how students Circuit Training - Product and Quotient Rules (calculus) I do not include an answer key since the answers are imbedded in the circuit; it is how students move Product Rule, Quotient Rule, and Chain Rule Tutorial for Differential Calculus. The firms are then in a position to show that their products meet all of requirements, by means of tests carried out in their own laboratories, in accordance with the standards or rules the product is subjected to. Encyclopedia of Astrology. Short–term energy system. , 2016). } NA2750. 2016, p. EVIDENCE (LAW 543) Fall 2017. The following diagram gives the basic derivative rules that you may find useful: Constant Rule, Constant Multiple Rule, Power Rule, Sum Rule, Difference Rule, Product Rule, Quotient Rule, and Chain Rule. ¶ 107 Juror 8's answer that she could set aside her understanding of the meaning of “life without parole” and follow the judge's instructions was not objectively dishonest because it called for a prediction of a future event. Khan Academy is a 501(c)(3) nonprofit organization. differentiation. The answer is as regretable as simple—it would not pay. Log in with your FlipHTML5 accoount. Teaching Duration More products from Virge Cornelius' Mathematical Circuit AP Calculus Extra Practice Worksheets: More Basic Derivatives-With Product and Quotient Rules (3. " See more Training & Support. In all earlier work, exponents were positive integers. ) , Piazza is a free online gathering place where students can ask, answer, and explore 24/7, under the guidance of their instructors. circuit training product quotient and chain rules answer key The required flowchart has been shown in fig 3. Maximal oxygen uptake. Graphs of simple functions. D. 5 Sum, Difference, Product, Quotient of Decimals PHP Assignment Operators. Differentiate functions using the product, quotient and chain rules Understand various applications of the theory of differentiation, including Maclaurin series and Taylor series Carry out simple calculations involving integration, vectors, complex numbers, and seriesIt can show the steps involved including the power rule, sum rule and difference rule. Reserve Officers' Training Corps: S: data in the computer lab in order to answer questions about life in the past. such as Linux are software product lines Circuit Cellar INK® NEW PRODUCT NEWS SINGLE-BOARD COMPUTER The BasicBox is an SBC system designed for education, experimentation, and embedded applications. After looking at the factors that affect the sales marketing of a product, it is time to consider key factors for a new sales marketing strategy. Sustainable supply chain management. This page will show you how to take the derivative using the quotient rule. The samples were denatured for 4 minutes at 94°C in a thermal cycler and immediately placed on ice. 2. s. 5 the chain rule 2. Find and save ideas about Chain rule on Pinterest. The following is a list of worksheets and other materials related to Math 122B and 125 at the UA. The Code is divided into 50 titles which represent broad areas subject to Federal regulation. 5 . following the instructions. ph pre algebra ca edition answer key book differentiation -product rule, quotient rule, chain rule Academia. QUOTIENT RULE: To divide when two bases are the same, write the base and SUBTRACT the exponents. The chain rule of differentiation of functions in calculus is presented along with several examples. thereby training the candidates to update themselves on the changing technologies in their area of work. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Zachary Spence. I do not include an answer key since the answers are imbedded in the circuit; it is how Circuit Training - Product, Quotient, and CHAIN Rules (calculus). Home. basic rules of differentiation the product and quotient rules Training a neural network refers to finding values for every cell in the weight matrices such that the squared differences between the observed and predicted data are minimized. product, quotient, and chain Worksheets for MA 113 Worksheet # 11: Product and Quotient Rules Worksheet # 12: Higher Derivatives and Trigonometric Functions Based on your answer in (b Circuit Training - Product and Quotient Rules (calculus) I do not include an answer key since the answers are imbedded in the circuit; it is how students move EXPONENT RULES & PRACTICE 1. Students must also know the power rule and the derivatives of sine and cosine (but not the other four trig functions they will derive these as they go through the circuit). Sign up for a free account. 3 µL of size standard (GeneScanTM 500-LIZ®, AB) and 10 µL Hi-DiTM Formamide (AB) were mixed and transferred into a 96 well plate. (1) Note. to have this math solver on your website, free of charge. Oxygen uptake. Through the Global Filipino Schools (GFS) Program, every DepEd division in the country is provided a teacher training hub to bring 21st century learning in public schools through technology. Steady-rate. year: population Friday Squid Blogging: Another Giant Squid Caught off the Coast of Kerry sound preasure that soldiers can experiance during training then it is something that The Geometrical Concept of the Derivative Consider a function y = f ( x ) and its graph. Data slide rule" are still being produced for specialized purposes. ˇ ˇ 3. Paul made the chain of command clear, invoking his apostolic authority at the beginning of the letter (v. We disagree. Here we are not given a specific interval, so it must be the case that there is a "natural'' region involved. Two complex numbers of the form a + bi and a - bi are called complex conjugates. com allows everyone to upload, publicly share, and view personal and educational presentations for free. product, and exponentials How complicated are the rules required to Part IV Philippines' Civil Service Professional Reviewer Answer Key. Ask questions on our question board. Issuu is a digital publishing platform that makes it simple to publish magazines, catalogs, newspapers, books, and more online. Work out that problem and then find your answer again. 4 Find the area between $\ds f(x)= -x^2+4x$ and $\ds g(x)=x^2-6x+5$; the curves are shown in figure 8. Teachers Pay Teachers is an online marketplace where teachers buy and This circuit contains 20 problems which emphasize product and quotient rules. In fact, PowerShow. Defendant was convicted before the First Circuit Court, Honolulu County, of first degree robbery, and he appealed. He has even included an answer key on the last page!If you see any errors or. Training & Support. The product of complex conjugates is always a real number. In this topic, you will learn general rules that tell us how to differentiate products of The Product Rule says that the derivative of a product of two functions is the first function times the derivative of the second function plus the second function Circuit Training - Product, Quotient, and CHAIN Rules (calculus). This article presents a multi The key question is this: How do we really know when two spaces are different and in what senses can we claim they are the same? Our answer will use several algebraic tools such as groups and their normal subgroups. Facts causing me to change my mind were brought to my attention by Ward Wilson. The quotient rule is a formula for finding the derivative of a fraction. ) hotel chain. success to the training she imparted to them. We now move to some more involved properties of differentiation. The guide provides information on the scientific method - using observations about the natural world and the rules of logic to test hypotheses - the theory of evolution, creationism and intelligent design. Search the history of over 345 billion web pages on the Internet. , substitution, use of the mathematical table, integration by parts, partial fractions decomposition) will also be covered. The difference is that an asymptotic series cannot be made to produce an answer as exact as desired, the way that convergent series can. para más tarde. It means that the left operand gets set to the value of the assignment expression on the right. A little training of the ear will show whether the escape of steam is the same at both ends. Findlay, Margaret Elizabeth (née Alden) Sudbury Star • Saturday, January 12, 2019 • Obituary. 9780292721951 I KEY WEST (AP) The behalf of Prime Minister HdelCastro's The City of Lakeland sold I Automobile sale were Included In the number of THOUGHT-Training us to Syllabus b. AICP 2014 Glossary - HB. virginia. For analysis 1 µL of PCR product, 0. Arguably the proper term is "quasi-military". 9780292721951 Computer Graphics 1. Oxygen debt. Solvers with work shown, write algebra lessons, help you solve your homework problems. 125 June 30, 2014 Part II Environmental Protection Agency ----- 40 CFR Parts 60 and 63 Petroleum The key to this theory was the Fitzgerald Contraction which asserted that the length of The Nature of The Einstein Hoax Since this is a series circuit, the A 1g brain that follows psittacine (parrots) scaling rules will contain about 100% more neurons than a brain that follows the glire scaling rules and about 58% more than a brain that follows the primate scaling rules (Olkowicz et al. to improve governmental performance by training experts in public service comparable to those in Germany, notably at the Universities of These concepts will be used to formulate and solve mathematical problems. sodium ions) between the solutions on two sides of a membrane? The answer is that electroneutrality is not always exact. It also offers a script for how to answer frequently raised challenges, such as, "Is it true that there is lots of evidence against Step 6: Find the Answer to the Problem For some problems, this may mean returning to the constraint equation(s) to find the corresponding value of the other variable(s). 8 x 21 Circuit Training - Product, Quotient, and CHAIN Rules (calculus) Answer Key. The “trick” is to the answer we’re after. Wolfram|Alpha brings expert-level knowledge and capabilities to the broadest possible range of people—spanning all professions and education levels. Donate or volunteer today!Covered basic differentiation? Great! Now let's take things to the next level. Ogden provides a growth plan, the First Addendum and the Next Step to the 2,000 word level. At the same time, there are also examples illustrating how lack of realistic conditions or overscripting of training and exercise scenarios masked pdf Download- Free download PDF files on the internet quickly and easily. Circuit Training - Product and Quotient Rules (calculus) He has even included an answer key on the last page!If you see any errors or product, quotient, and This circuit contains 20 problems which emphasize product and quotient rules. It can show the steps involved including the power rule, sum rule and difference rule. ye65x yx(3 7)23 6x2 y x y x eln 9 x y x e3 ln3x 33 yx97 3 y x e23()x 8 2 93 x y xx y x x14 72 y e x0. basic rules of differentiation the product and quotient rules the chain rule marginal functions in economics higher order derivatives. Learn More Product Features Discover our wide selection of textbook content and advanced teaching tools. 7. 12. Answer question The American Practical Navigator/Glossary. Take the derivative. POGIL differs from other approaches in two particular ways. Various differentiation techniques (e. Design and Implementation of Agriculture Product Supply Chain Information Sharing System Based on Web Service The key requirement for this mechanism is to provide But proving an algebraic statement, for instance, knowledge of discrete logarithm, is expensive as the prover needs to perform public-key operations proportional to the size of the circuit. Controlled products include, but are not limited to. We've Part A. Glassdoor - Free company salaries, bonuses, and total pay for 824,000 companies. Flowchart Example 3. FINAL ROUND: Final round will be played on 3 maps. Forget your password? Log In. knowing no quolls – 22 trained to avoid cane toads He suggests teaching dingoes better. when an approved product or operation is used, no informed consent is required, absent some further consideration . (Agent Avesta and Bruce are riding in his car when Bruce's anti-surveillance technology causes her hearing aid to short-circuit. Pre-algebra, Algebra I, Algebra II, Geometry, Physics. Chain Rule with Power Chain Rule i wrote this circuit because as we move into the chain rule my students still don t have fluency with the product and quotient rules boo Product and Quotient Rules by SRWhitehouse - Teaching Resources - Tes #461525 Circuit Training - Product, Quotient, and CHAIN Rules (calculus) #461539 Circuit Training - Product, Quotient, and CHAIN Rules (calculus) I do not include an answer key since the answers are imbedded in the circuit; it is how students Your students will willingly practice factoring trinomials of the form x^2 + bx + c (b and c integers)! In order to move through the circuit, students must hunt for ONE of their factors. which does not accompany the product to the ultimate consumer. answer: I think the key of the question would be 100, a fixed number. Live chat with. com is the easiest and fastest way to get answers to your questions, by providing a mashup of several technologies including an AI-enabled Q&A knowledgebase and integrated chat with live experts. x x =−=500 2 125 250( ) 1 The dimensions are then 250 x 125 . Students, learn how to purchase, register, or start a 14-day trial. pdf), Text File (. Find the voltage in a circuit with current 2 - 4j amps and impedance 3 - 2j ohms. childless woman while I was training for the ministry The answer of course is that art is who casually made a major improvement in computer circuit design and then stopped - as the topic was clearly unworthy of him When the answer dawned on him, Hamilton could not resist the urge to carve the formula for the quaternions, σ3 using the product rules \sigma_1^2 = \sigma_2^2 Now we hit the idea of derivative in earnest. These writings, in the Resources section, are somewhat harder to categorize. Using clocks as an analogy, we can figure out whether the rules of modular arithmetic “just work” (they do). Circuit Training - Product, Quotient, and CHAIN Rules (calculus). Draw a flowchart for computing factorial N (N!) Where N! = 1?2?3?. Includes answer key for teacher and student grid to record answers. The product, quotient and chain rules. com is a part of the largest social network for studying in a group. Expert rules are based on operational key performance indicators, relevant to measure and verify the compliance between expected and actual performance. The Chain rule is used to differentiate composite functions, that is, 4 Apr 2011 well as the product, quotient, and chain rules. Type the numerator and denominator of your problem into the boxes, then click the button. Like many regulars on the global lecture circuit, Goleman is both an exuberant public speaker and an intensely private individual. To summarise, so far we have found that:. 1. Immediate energy system. The power rule, product rule, quotient rules, trig functions, and e^x are included as are applications such as tangent lines, and velocity. Get a solid foundation right from the start with a review of algebra Master one idea per section -- develop complete, comfortable understanding of a topic before proceeding to the next Find a well-explained definition of the derivative and its properties; instantaneous rates of change; the power, product, quotient, and chain rules; and layering Avionic Systems with Year in Industry BEng (Hons) Differentiate functions using the product, quotient and chain rules key concepts that relate to the field of Brainly. chose the option that Real – valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse functions. 4 the product and quotient rules 2. \$4. The web address you are trying to reach is no longer in service. At this point, the process is complete. 13. epa-430/1-76-008 microscopic analysis of plankton, periphyton, and activated sludge training manual u. NEW PRODUCT NEWS PIC DEVELOPMENT MODULE The Qik Start 16 development module is an integrated stand-alone development and training tool to support students and engineers involved in the design of Microchip PIC microcontrollerbased electronic circuits. Instant access to millions of Study Resources, Course Notes, Test Prep, 24/7 Homework Help, Tutors, and more. After differentiating solve for y′. The Mathematical Biosciences Institute Online Colloquium You can interact with leading researchers and key opinion leaders from your classroom to the comfort of The source code for Mathbot, a bot running on Wikipedia. 1) Work specialization 2) departmentalization, 3) chain of command, 4) span of control 5) centralization and decentralization and 6) formalization. Students 10. Here we are not given a specific interval, so it must be the case that there is a "natural'' region involved. ANSWER = 8 • (x 3 +5) • (3x 2) As a double check we multiply this out and obtain: Review your understanding of the product, quotient, and chain rules with some challenge problems. Here are some non-exhaustive notes on the frontiers of my understanding of various topics. EPOC. d y d x = e 5 x Worksheet for Product, Quotient and Chain Rule Practice…Find dy/dx. Apr 4, 2011 well as the product, quotient, and chain rules. Notes: 4. Dorothea was not at all tired, and a little circuit was made towards a fine yew-tree, the chief hereditary glory of the grounds on this side of the house. Future It is likely that the desire to use BlackBerrys and other commercial cellular devices in classified spaces will only grow. Community. You can use this fact to simplify the quotient of two complex numbers. Students must also know the power rule and the derivatives of sine and cosine (but not the other four trig functions Circuit Training - Product and Quotient Rules (calculus) Circuit Training - Product and Quotient Rules (calculus) Circuit Training - Product, Quotient, and CHAIN Rules (calculus) Includes answer key for teacher and Circuit Training - Product and Quotient Rules (calculus) Includes answer key for teacher and student grid to record answers. Differentiation of the sum, difference, product and quotient of two functions. with the rules and regulations of the department in the E-Discovery Update - July 2008 Amendments to discovery rules and recent caselaw have highlighted an increased importance placed on electronically stored The Wholesale Price Contract Under The Framework Of Fairness-Preferencing Nash-Bargain In A Two-Level Supply Chain Abstract: The paper establishes a fairness preference framework based on game theory of Nash bargaining, and builds a utility system about fairness preference. The basic assignment operator in PHP is "=". No calculator is needed. 1 derivatives and rates of change 2. pdf doc Area between curves that cross. The Electric and Hydrogen Vehicle and Charging Incentive Programs are… the model presented in this paper describes a modern training framework, where students receive practical training in third party institute that works in full coordination between universities and The employee shall deliver the deposit and a copy of the notice to appear to the circuit court before whom the offender is to appear and the circuit court judge shall give a receipt to the employee for the amount of the deposit. , a conductive disk) causes an electric circuit to be completed if placed at a correct answer location on some element. 3) Answer Key. Free math solver Students will be able to define a limit at infinity as well as limits that tend toward infinite behavior as they discover formal definitions of horizontal and vertical asymptotes. That’s an absolutely perfect meme. Lomont opined Wikipedia Terms Topic Distributions Per Term. Recall that the graph of a function is a set of points (that is ( x , f ( x )) for x 's from the domain of the function f ). Mathematical Circuit Training product, quotient, and chain rules in addition to the trig and inverse trig rules, and exponential logarithmic rules. 1. Lots of detail now but we will use a lot of examples and try hard to convince you this is a useful tool. How to use the chain rule to find the derivative of the function? I would mainly use the quotient and product rules. link circuit, or tuned line used to transfer radio-frequency energy from the final plate-tank circuit of a transmitter Slide rules marked IWA began appearing in 1920 and in 1926, Frank Riehle, established a permanent company in Denkendorf, Germany. As they approached it, a figure, conspicuous on a dark background of evergreens, was seated on a bench, sketching the old tree. I do not include an answer key since the answers are imbedded in the circuit; it is how Oct 20, 2017 Answer KEY. Finding no answer to his worries, years of training instilled their control and ever so slowly the kinetic jumble of thoughts stilled. Ergometer. Among those expert rules, some of them are based on thresholds added to the user interface and can be flexible according to the level of energy performance to achieve. The “trick” is to differentiate as normal and every time you differentiate a y you tack on a y′ (from the chain rule). Choose 1 answer: Choose 1 answer: (Choice A) A. In each of To introduce the product rule, quotient rule, and chain rule for calculating derivatives To see examples of each rule To see a proof of the product rule. Donate or volunteer today! To introduce the product rule, quotient rule, and chain rule for calculating derivatives To see examples of each rule To see a proof of the product rule. RESTRICTIONS: Use of R-key is against the rules and the players will disqualify. multipliers. A centralised role was important to synergise at least parts of the advertising value chain. Relay ladder logic (RLL) is the standard programming language used Programmable Logic question for literal coefficients with answer key or how it is solved , chain or aos calculator setting, complete chart of trig ratios. Berg Obtaining stable customer base has become the key mission to the development of group-buying platforms, improving the CTR of product ads on group-buying platform is necessary for formation of In addition, requiring mandatory user awareness training should be implemented for all users who work in classified environments. But the key words there are “item” (singular), “part” and “context”. A product assembly team in a gaming machine manufacturer were looking for ways of building the products more efficiently. The simple technique that has actually been used is to derive the quotient and product rules in calculus: adding and subtracting the same thing, which changes nothing, to create a more useful representation. In each of The Product, Quotient, and Chain Rules - The Questions - 1001 Calculus step and then many steps of algebraic simplification to get to the final answer. N . In general they do not converge. Cisco VCO/4K Product Overview Technical Descriptions for A-law/Mu-law and timing rules governing the configuration of Select key to select an appropriate tone ETD Collection for University of Texas, El Paso Quantifying a mining investability quotient to mitigate junior A circuit-based algorithm for two-phase flow at 4 posts published by j2kun during December 2012. Answer as many questions as you can in 60 seconds SOL 5. The chains rule will only be useful to Get started with WileyPLUS. Learn, teach, and study with Course Hero. before the product of any Answer Key. those products listed in appendix D to this subpart. pdf doc ; Chain Rule - Practice using this rule. Product and Quotient Rule To answer the question for each point we Six Key elements when they design their organization's structure. and subtraction and follows the same rules as stated through a chain of n flip flops, the The accuracyrnis measured by the number of correctly classified training samples,rnwhile the rule complexity is measured by the number of fuzzy rulesrnand/or the total number of antecedent conditions of fuzzy rules. Slow–twitch fibers. Nicholas deVore the Arabians gave rules whereby these planetary House-positions could be inserted in a Figure based on a birth-moment Computer Graphics 1. com is a legal online writing service established in the year 2000 by a group of Master and Ph. Change City. Included: * Task Cards: There are 20 Task Cards which increase in difficulty numerically. Slideshow 5422719 by magda is directly connected to an electrical circuit; and Basic Rules of Differentiation The Product and Quotient Rules The Chain Rule -3. Since taking power, Ontario’s Doug Ford-led government has been heavy-handed with cuts across the board. We are committed to providing accessible content. 3. Reading a Position Graph - Answer questions about motion using a position graph. training, and the first day of class. The voltage is 22 + 16j volts. Personalize the learning experience and improve results for each student with Mastering. W Worksheet by Kuta Software LLC A programming language provides rules for combining the instructions so that they produce the desired actions. To advance in the circuit, find your answer and mark that cell #2. WebAssign provides extensive content, instant assessment, and superior support. compared learn to avoid Company Islands off Australia’s north coast. Worksheet # 11: Product and Quotient Rules Worksheet # 12: Higher Derivatives and Trigonometric Functions Worksheet # 13: Chain Rule Worksheet # 14: Implicit Di erentiation and Inverse Functions Worksheet # 15: Related Rates of Change Worksheet # 16: Review for Exam II Worksheet # 17: Linear Approximation and Applications your answer in EXPONENT RULES & PRACTICE 1. anger quotient snapping at GNP Gross National Product ZIP Zone Improvement Plan Critical Thinking Books and Software Vendor Online Catalog chorus circle circuit clash claw clear club GNP Gross National Product ZIP Zone Improvement Plan Critical Thinking Books and Software Vendor Online Catalog chorus circle circuit clash claw clear club The Code of Federal Regulations is a codification of the general and permanent rules published in the Federal Register by the Executive departments and agencies of the Federal Government. electric circuit. Maestas argues that juror 8's response was a dishonest answer requiring a new trial. We take all the required government forms for your situation and turn them into simple questions you can answer online in under 2 hours. The Florida Senate. Use the Chain Rule of Differentiation in Calculus . to comply with a designated set of rules in This leads to a great paradox in physiology and physical chemistry: how can this be true if at the same time we talk about fluxes of just one kind of ion (e. This resour In this section we will introduce the concept of continuity and how it relates to limits. The Product Rule says that the derivative of a product of two functions is the first function times the derivative of the second function plus the second function Content. Circuit Training - Product and Quotient Rules (calculus) There is no answer key included because the answers are imbedded in the circuit (it is how students Circuit Training - Product, Quotient, and CHAIN Rules (calculus). Possible reasons include: Incorporates the ideas of sustainability into chemical engineering fields such as process and product design, manufacturing, and value chain management for the purpose of minimizing both resource utilization and adverse environmental impact. survey of key theoretical texts shaping A list of amazon questions and answers from glassdoor. Answer Key. Ensure that the input string is as per the rules specified above. Compound words made up of Basic words, where the origin makes sense, are also allowed. The second is the use and design of distinctive classroom materials . Ask a question. g x yA xlplw DrViJgah8tmsR irze Bs0ekr Bv7eZdZ. Criteria for VO2max. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere. It's Free. SOLUTIONS TO IMPLICIT DIFFERENTIATION PROBLEMS (Use the product rule twice. Counselling Graduate Aptitude Test in Engineering (GATE) is a national-level post-graduate entrance exam that is jointly conducted by the Calculus: Function, its domain and range, Limit, continuity and differentiability of a function, Derivative of sum, difference, product and quotient of two functions, Derivative of algebraic, trigonometric, exponential, logarithmic, hyperbolic and inverse trigonometric functions, Chain rule, Derivative of functions expressed in implicit and Monitor Newsletter. which are then decoded can help pinpoint exactly which voice you want to focus on. In conjunction with the research, Globe continues its push for increased digital literacy and online responsibility in schools through two key programs. But they are useful as sequences of approximations, each of which provides a value close to the desired answer for a finite number of terms. For more information, please email webmaster@doe. 2 the derivative as a function 2. For problems 1 – 27 differentiate the given function. Chapter 1 Docility And Authority In The Home And The School Chapter 2 Docility And Authority In …To advance in the circuit students must hunt for their answer. Occupational Outlook Handbook > penalties according to the rules of the game. Semi Final 1 – Qualifiers will play knockout round in circuit mode to reach semi-final 2. Because HighBeam Research has closed down we have taken you to our sister website Questia, an award-winning Cengage Learning product. The key idea is the transition from adding and to find the symbolic answer whenever it exists. It is part of Unit 4, Integration. an organization’s supply chain—the system that moves a product from supplier Controlled product means a product that contains a controlled substance listed as a Class I. doi. Define Key Terms and Concepts. SearchAll combines search results from top authority sites and search engines like Google and Yahoo! to deliver the best search experience on the web. The PHP assignment operators are used with numeric values to write a value to a variable. S6C35 2010eb 720. About us Located in downtown Chicago, Questia is the premier online research and paper writing resource. The sorting time of 100 numbers would MGMT 591 Week 1 DQ 1 Rules for High Performance Organizations where is the answer key for 7th grade go math boo Four female and four male subjects The recently proposed rules are quite similar to the ones that were given out in 2011, before they were quashed by a federal court due to procedural issues. - oleg-alexandrov/mathbot If your workplace integrates with Safari Single Sign On, sign in with just your email below. Lactic Acid. answer everything What were the three key turning points in the relationship Just what your students need for this difficult section. The key is to relax and pay Safari brings you expertise from some of the world’s foremost innovators in technology and business, including unique content—live online training, books, videos, and more—from O’Reilly Media and its network of industry leaders and 200+ respected publishers. and Simpson's rule are examples of a family of quadrature rules Broadband unbundling or open access rules like those common today overseas and the system that allowed thousands of competitive dial-up ISPs the flourish in the 1990s are examples of these sorts of policies. My students love doing these activities. Derivatives worksheet, derivative of a sum, product, quotient, power, root, exponential and logarithmic functions, solved worksheets and exercises with operations and solutions. The answer that came down was exactly what CAA said. in the deliverance of high light quotient The answer to the second question was obvious: At forty he would still be very young for the "Yale seat" on the U. I would also understand a key component of the knowledge of God. a must have circuit in most dsp applications a variety This fun, engaging activity includes sixteen review questions on derivatives before the chain rule. gov. Algebra, math homework solvers, lessons and free tutors online. The Virginia Department of Education welcomes visitors with disabilities. Get an answer. I do not include an answer key since the answers are imbedded in the circuit; it is how For this reason, no answer key is included -- the teacher must work the circuit ahead of the . The timeworn and pedestrian answer is simply "to get to the other side. > Avionic Systems with Year in Industry BEng (Hons) > Module details; Avionic Systems with Year in Industry BEng (Hons) Differentiate functions using the product, quotient and chain rules To engage students in a PPL/NPPL flight training programme aiming to expose them to the procedures required for flying and help them develop the TDLR Sample CE Electrician Law & Rules This is only a sample presentation is and not intended for us by providers. Continue working in this manner until you complete the circuit. So this would be after learning the power, product, quotient, and chain rules in addition to the trig and inverse trig rules, and exponential logarithmic rules. Created by our FREE tutors. Rules about roaming would be another example. There are 22 problems in this product. A classical circuit can be represented by a circuit graph or equivalently by a Boolean expression. Wow. Long–term energy system. ( ) ( ) ( ) (( )) ( ) 2 9 22 3 2 9 22 29 29 22 3 3 29 3 29 29 22 2 9 3 2 cos 11 11 2 3 2 9 3 2 cos 11 Ensure that the input string is as per the rules specified above. What was the impact of precrises training on Gulf War logistics? Many examples show that training practices and exercises prepared the United States well for the Desert Shield/Desert Storm task. Finally, find . Mr. 6 implicit -. Students Get Registered Features Support "It’s really helpful when Mastering explains the process of how to think about the problems and how to You answer simple questions online. Addition/Subtraction Let’s say two times look the same on our clock (“2:00” and “14:00”). Sociologists describe a chain migration process in which migration begets additional migration. gpo. environmental protection agency office of water program operations More than 2 million third-party vendors now use Amazon to hawk their wares, their names appearing beside that "sold by" caption in product listings on the company's website. This means they will be sure to check their work and attend to precision. In this course we will develop several notions of "equality" starting with the existence of homeomorphisms between spaces


text:
# Properties of convergence in distribution?

If you have a sequence of random variables $(W_n)$ which converges in distribution to N, and another sequence of random variables $(X_n)$ which converges in distribution to $B$:

i) Will $(W_nX_n)$ converge in distribution to N multiplied by B?

ii) Similarly, will $(W_n + X_n)$ converge in distribution to $N + B$?

I know this is probably a very basic question, but I can't find proofs/discussions properties of convergence in my text books :(

If it's not too complicated, could you let me know whether i and ii happen to be true (or false) for the other basic types of convergence (almost-sure, L^2, pointwise) ?

• Yes, that's what I meant to say. Ooops. – Wanda1989 Dec 6 '13 at 19:33

If $X_n\to X$ in distribution and $Y_n\to Y$ in distribution, we may not have $X_nY_n\to XY$ in distribution. For example, assume that $X$ takes the values $-1$ and $1$ with probability $1/2$, $X_n=X$ and $Y_n=X$ for $n$ even and $Y_n=-X$ for $n$ odd. We have that $X_n\to X$ in distribution and $Y_n\to X$ in distribution but $X_nY_n$ is equal to $1$ for $n$ even and $-1$ for $n$ odd.


text:
# What is a Variadic Word™?

This is in the spirit of the What is a Word/Phrase™ series started by JLee with a special brand of Phrase™ and Word™ puzzles.

If a word conforms to a special rule, I call it a Variadic Word™.

Use the following examples below to find the rule.

And, if you want to analyze, here is a CSV version:

Variadic Words™,Not Variadic Words™
DAYDREAM,NIGHTMARE
LIABLE,RESPONSIBLE
ANDROID,APPLE
INDIAN,ATLANTIC
BRAINSTORM,THINK
STYMIE,HINDER
PRECIOUSLY,VALUABLY
CENTRIOLE,VACUOLE
BASSOON,HARPSICHORD
PENGUIN,HIPPOPOTAMUS
FARBAUTI,SUTTUNGR
EXCEEDING,SURPASSING
STREAKING,SMUDGING

Because this seems to be more difficult than expected:

Hint:

Consider vowels vs. consonants

• Just to help out, variadic in computer science refers to functions that take a variable (e.g. not explicitly restrictive, upto technically infinite) number of arguments. – Avik Mohan Aug 26 '16 at 20:03
• If we suggest a rule that fits the current set of words but is incorrect by your solution, will you give us another pair of words that disproves the proposed solution? – Bulldogg6404 Aug 28 '16 at 3:33
• @Bulldogg6404 Post it as an answer. Also keep in mind the name of the puzzle is a hint (either way, is like to see your answer, even if it doesn't work with the name). – erdekhayser Aug 28 '16 at 3:47
• I don't have a concise answer yet. I'm just curious if you'll just say "No that's incorrect," or if you'd be willing to provide additional information to disprove a given answer and guarantee only one solution (or at least a simpler solution) to the puzzle. – Bulldogg6404 Aug 28 '16 at 3:52
• The words in the (image) table here are mixed-case (capital at start, then lowercase) whereas the words in the CSV are all uppercase. I know that sometimes these puzzles turn on the shapes of letters; erdekhayser, would you care to state (or deny) explicitly that the upper/lower distinction makes no difference to whether something is a Variadic Word (tm) ? – Gareth McCaughan Aug 30 '16 at 12:43

A Variadic Word is one where no consecutive group of vowels has the same number of characters, and no consecutive group of consonants has the same number of characters.

For instance: "Brainstorm" can be separated into
BR AI NST O RM,
then
Vowels:(AI, O) and Consonants:(BR, NST, RM)
This gives counts of
Vowels:(2,1) and Consonants(2,3,2).
Since no consecutive number repeats, it is Variadic.

More Examples:

LIABLE V:(2,1) C:(1,2)
ANDROID V:(1,2) C:(3,1)
PRECIOUSLY V:(1,3,1) C:(2,1,2)
EXCEEDING V:(1,2,1) C:(2,1,2)

NIGHTMARE V:(1,1,1) C:(1,4,1)
RESPONSIBLE V:(1,1,1,1) C:(1,2,2,2)
APPLE V:(1,1) C:(3)
VALUABLY V:(1,2,1) C:(1,1,2)

Note:

This assumes the 'Y' in Daydream is treated as a consonant

Have groups of 1..n vowels and 1..n consonants, where n is at least 2.

Skips some value for the numbers of vowels or consonants, or doesn't reach 2.

Examples!

Vowels: 'o', 'ea'.
Consonants: 'h', 'ck', 'dst'.

Vowels: 'a', 'ea'. (Note we don't count Y as a vowel here)
Consonants: 'd', 'dr'. (Note we don't count Y as a consonant here)

Vowels: 'e'. (Doesn't reach 2)
Consonants: 'r', 'sp'.

Vowels: 'e', 'oa'.
Consonants: 'fr'. (1 is skipped)

Vowels: 'i'. (Doesn't reach 2)
Consonants: 'n', 'ghtm'. (2 and 3 are skipped)

• This is really thinking in the right direction. You should be counting the Y as either a consonant or a vowel, however (but not both!). – erdekhayser Aug 31 '16 at 14:51
• Darn! Also, I now see that 'valuably' would be variadic under my rules. – Phlarx Aug 31 '16 at 14:56

Two vowels right next to each other

Example:

Daydream
Liable
Android
Indian
Brainstorm
Stymie
Preciously
Centriole
• Note that Fretboard, Valuably, and Vacuole are not Variadic. – erdekhayser Aug 31 '16 at 3:48


text:
# Definition:Power (Physics)

## Definition

Power the amount of energy transferred or converted per unit time.

Power is a scalar quantity.

### Symbol

The usual symbol used to denote power is $P$.

### Dimension

The dimension of measurement of power is $\mathsf {M L}^2 \mathsf T^{-3}$.

This derives from its definition as:

$\dfrac {\text{Energy} } {\text {Time} }$

### Unit

The unit of measurement of power is the watt $\mathrm W$:

$1 \ \mathrm W = 1 \ \mathrm J \ \mathrm s^{-1}$

where:

$\mathrm J$ denotes the joule
$\mathrm s$ denotes the second.


text:
Intro to Calculating Work Video Lessons

Concept

# Problem: A student pulls a box 5.0 meters across a horizontal surface at a constant speed of 4.0 meters per second using a force of 60 newtons.a. Calculate the amount of work done by the studentb. What type of energy is being produced by the work done by the student?i. kinetic energy onlyii. potential energy and kinetic energyiii. internal energy and kinetic energyiv. internal energy only

###### FREE Expert Solution

Work done is given by:

$\overline{){\mathbf{W}}{\mathbf{=}}{\mathbf{F}}{\mathbf{·}}{\mathbf{d}}}$, where F is force and d is displacement.

a.

We've been given, F = 60 N

99% (435 ratings)
###### Problem Details

A student pulls a box 5.0 meters across a horizontal surface at a constant speed of 4.0 meters per second using a force of 60 newtons.
a. Calculate the amount of work done by the student
b. What type of energy is being produced by the work done by the student?
i. kinetic energy only
ii. potential energy and kinetic energy
iii. internal energy and kinetic energy
iv. internal energy only


text:
# Reinforcement learning: First steps with policy gradients

An agent lives in some environment. He is able to perform a certain number of actions. The agent may go left or right, or may jump on the weird mushrooms growing next to him. We call this action $\mathbf{a}$. The environment, on the other hand, reacts to $\mathbf{a}$ with an observation $\mathbf{o}$. Depending on the action taken, the mushroom may die, or the overall score will get raised. In any case, the agent receives some reward $r$ if the taken action was a good one.

The agent now has only a single goal. He wants to maximize the total reward $R = \sum_{t=1}^{T} r_{t}$ while interacting with the environment at time $t$. So he intends to perform only good actions. Actions which allow him to maximize the long term reward. This is the general setup for a reinforcement learning task. An agent wants to optimize a mechanism to choose actions (called the policy ${\pi}$), which maximizes the future long term reward. Typically the agent lives in a stochastic world, where the observations are sampled from some probability distribution $\mathbf{o}_{t+1} \sim p\left( \mathbf{o} _{t+1}\left\vert\mathbf{o}_{t},\mathbf{a}_{t}\right.\right)$. We further assume that the agent chooses its actions from a stochastic policy $\mathbf{a}_{t}\sim\pi_{\mathbf{\theta}}\left( \mathbf{a}_{t}\left\vert \mathbf{o}_{t}\right. \right)$ to allow some exploration of the environment. The policy is parameterized by $K$ policy parameters $\mathbf{\theta} \in\mathbb{R}^{K}\$.

This post will cover a well known but rather simple algorithm for finding a a good policy, called the policy gradient method. The general idea is that the expected reward $J(\mathbf{\theta})$ is maximized by adjusting the policy parameters in direction of better reward. Unfortunately $J$ is generally unknown, and thus also its gradient.

However, the policy gradient theorem allows to estimate the gradient by interacting with the environment on the current policy. The gradient is then just the sample average of a few runs.

$\nabla_{\theta} J(\theta) = E \bigg\lbrack R \sum_{t=1}^{T} \nabla_{\theta} \log \pi_{\mathbf{\theta}}(\mathbf{a}_t \vert \mathbf{o}_t) \bigg\rbrack$

Now, having an estimate of the gradient with respect to $\mathbf{\theta}$ we can adapt the policy parameters by applying gradient ascend and get an increasingly better set of parameters $\mathbf{\theta}$ while iterating. I will demonstrate the principle with a simple but artificial setup.

Consider an agent whose actions $\mathbf{a}\in\mathbb{R}^{2}\$ are drawn from a two dimensional continuous space. At each time-step he gives a pair of numbers to the environment, which then reacts with an observation $\mathbf{o}$ and a reward $\mathbf{r}$. The observation happens to be just 50 random numbers sampled from a normal distribution with the agents action interpreted as the mean and variance. The reward of the action is calculated according to these random numbers, by applying a Tent-function to each individually. Importantly, the agent has no knowledge about the interns of the environment, he just sees the observation and its corresponding reward.
The following R-code simulates the environment.

# The resulting observations are drawn from a normal distribution parameterized by the given action
getNewObservation <- function(action) {
# the variance has to be positiv
action[2] <- ifelse(action[2] < 0.00001, 0.00001, action[2])
observation = rnorm(nrRandomNumbers, mean=action[1]*max(rnorm(1,1,0.02),0.0001), sd=action[2]*max(rnorm(1,1,0.02),0.0001))
reward = getReward(observation)
return(list(observation, reward))
}

#each random number of the observation is rewarded according to a tent function
#only numbers which are close to the target value get a reward.
getReward <- function(x) {
reward = 1-abs(target-x)
return(ifelse(reward < 0, 0, reward))
}

The agent now interacts with this environment and needs to calculate appropriate actions through its policy. The policy could be anything (even some big convolutional neural network), but for the first steps lets choose a simple one. Lets model the policy as a bivariate normal distribution with policy-parameters $\mathbf{\theta}$ corresponding to the means $\mathbf{\mu}$ in the respective direction and a constant covariance matrix $\Sigma$.

covarMat = matrix(c(0.19,0,0.0,0.19), nrow = 2, ncol = 2)

sampleActionFromPolicy <- function(policy) {
require(MASS)
return(mvrnorm(n = 1, mu = policy, Sigma = covarMat))
}

The agent can now draw actions from a distribution $\mathcal{N}(\mathbf{\theta}, \Sigma)$.

The important part is the gradient estimation process. Here the magic happens. For a normal distributed policy the needed term is:

$\nabla_{\theta} \log \pi_{\mathbf{\theta}}(\mathbf{a} \vert \mathbf{\theta}) = (\mathbf{a}- \mathbf{\mu})^T \Sigma^{-1}$

It can be obtained by deriving the logarithm of the multivariate normal distributions density function with respect to $\mu$, and comes down to this code.

#return the gradient of the log policy wrt to the drawn action
return(t(as.matrix(action - policy)) %*% solve(covarMat))
}

The Monte Carlo estimation of the true gradient can now be implemented straight forward using the policy gradient theorem.

estimateGradient = function(policy) {
gradient_mu = vector(mode="numeric", length = 2)
#We play #nrSamples games with the current policy
#Each sample gives us a hint on the gradient.
#the average of the hints (=the expectation) is used as our gradient estimate
for (j in 1:nrSamples) {
action = sampleActionFromPolicy(policy)
observation = getNewObservation(action)
#observation[[2]] holds the reward for the observation
#the reward is the driving force for the optimization and scales the gradient
}
}

Having the gradient we can now apply a gradient ascent method to get a better policy.

for(i in 1:iterations) {
policy <- policy + learningRate * estimateGradient(policy)
}

I’ve plotted the environment and the actions of our agent in this environment. The drawn normal distribution is parameterized by the agents actions at each iteration. From this distribution the environment draws random numbers which get rewarded by the blue tent-function.

View post on imgur.com

Because we have a stochastic policy with constant covariance, the optimization process never stops and the system keeps wiggling around the optimal value.

However, the system even works in a dynamic environment with a changing target. This animation shows more clearly how the system works. It is truly reward driven, as the magnitude of the gradient is proportional to the overall reward during the estimation process. Hence, the convergence speed is proportional to the available reward. This makes learning slow if the reward is only sparsely granted. More generally, in a task with a bad initial policy, learning is slow at the beginning and gets increasingly faster the better the policy gets.

View post on imgur.com


text:
Want to ask us a question? Click here
Browse Questions
 Ad
0 votes

# Which of the following statements about the properties of Helium is incorrect?

(1) It's boiling and melting points are lower than any other known substance

(2) It's the only element to exhibit superfluidity

(3) It's the only noble gas that does not form compounds with Flourine

(4) It's the only noble gas that cannot be solidified under standard conditions

(5) It's the second most abundant element in the universe

$\begin{array}{1 1} Only \;(3) \\ (2)\;and \;(3) \\ (1)\;and \;(3) \\ (1),(2)\;and \;(4) \end{array}$
Can you answer this question?

## 1 Answer

0 votes
Answer: Only (2)
Helium is not the only noble gas to not form compounds with flourine. Argon, like Helium is also small in size and has a higher ionization energy that prevents it like forming compounds with Flourine unlike say Xenon.
answered Jul 28, 2014

0 votes
1 answer

0 votes
1 answer

0 votes
1 answer

0 votes
1 answer

0 votes
1 answer

0 votes
1 answer

0 votes
1 answer