An (am) radio signal is given by S(t) = sin (at) cos (wt) A)Differentiate this function in regards to t B) Considering the maclaurin series for sin (at) and cos(wt), find a maclaurin series for the function s(t) up to the first three zero terms C) if the complex number is z is defined by z= (a+ik)t, write down the real and imaginary parts of e^(iz) D) differentiate y(t) = e^-iz with respects to t (with z defined in part c) write down real and imaginary parts