<caption><image_21>The image is a whiteboard with a mathematical equation written on it. The equation is written in black ink and is in the form of a circle. The circle is divided into two parts, with the left side of the equation being the largest and the right side being the smallest. 

The equation is for the equation "7 =" which is written as a mathematical formula. The first part is for "1-e" and the second part is from "2-e". The equation has a value of "e" written in the center of the circle.

There is also a logo on the top right corner of the whiteboard, which appears to be the logo of the company "CDEEP". Below the logo, there is a label that reads "CCEEP IT BOMB 1". The label also has the company's name and contact information. The background of the image is plain white.</caption><transcript><audio_22>so you know there are two counts on which you know of course we were pessimistic a minute ago and we noted that the transformation was not all right but then you know to move to a solution you cannot remain pessimistic you have to find some way out of the</transcript><video><caption><image_23>The image is a whiteboard with a mathematical equation written on it. The equation is written in black ink and is in the form of a mathematical formula. The formula is written on a piece of paper with a black marker. The background of the whiteboard is plain white. On the top right corner of the image, there is a logo of the Indian Institute of Technology (CDEEP) and on the top left corner, there are two logos of the company. The image appears to be taken in a classroom or a similar setting.</caption><caption><image_24>The image is a screenshot of a whiteboard with a hand holding a black marker. On the whiteboard, there are several mathematical equations written in black ink. The equations are written in a neat and organized manner, with some of them overlapping each other. The background of the image is plain white, and there is a logo of the Indian government on the top right corner. The text on the image reads "CDEEP HIT BOMB3".</caption></video><transcript><audio_25>tricky situation in which you are and we could now take an optimistic view and say that you know if you what you would have liked here is that this be essentially imaginary</transcript><transcript><audio_26>so this is this is the good part of the this is a good part of the substitution you know when you put when you took a point on the unit circle you should have gone to a point on the imaginary axis</transcript> so you know there are two counts on which you know of course we were pessimistic a minute ago and we noted that the transformation was not all right but then you know to move to a solution you cannot remain pessimistic you have to find some way out of the tricky situation in which you are and we could now take an optimistic view and say that you know if you what you would have liked here is that this be essentially imaginary so this is this is the good part of the this is a good part of the substitution you know when you put when you took a point on the unit circle you should have gone to a point on the imaginary axis
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