Image text transcribed for accessibility: Given the second order prototype characteristics equation: s2 + 2 omegans+omegan2 = 0 It is desired to find a set of admissible solutions (this is a region of space in the s - plane) that have the following properties 20 < P.O < 25 1.5 < Ts < 2.0 sec settling band is < 5% (use #TC = 3) Show the admissible solution as an area (polygon) in the s - plane. This admissible area could conceptually be correlated with the tolerance of components of a system. Hints: Plot region should be defined by axis([-4 0 0 6]) so everyone gets same plot. Use the relation: = cos theta to define the P.O boundaries The result should "look like" (but is not) the following graph, the angled blue lines correspond to one overshoot locus the black the other. The horizontal lines correspond to the 1.5 sec and 2.0 sec setting time locus for a given damping ratio, colors horizontal lines match angled line colors. You need to indicate the admissible region on the plot by coloring it in (by hand is acceptable). Think carefully as to which region meets the specifications given above.