Given that S' = {e® : 0 € R}, where e" = cos(0) + i sin(0). %3D Show that S' is a group under multiplication ei0 eit2 = ei(01+O2).
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- Find f (x) if it is a transformation of g (x) = cos with Field of Values of [-3,1] and a period of pi / 2.a. Show that W[5, sin2 t, cos(2t)] = 0 for all t by directly evaluating the Wrosnkian.Differentiate the following with respect to x using appropriate rule 1) (2-5x)^ 3/2 2) 2x^3 cos 3x 3) 2x+1 / 3x-4