KIndly answer the whole question. The whole question is related. I only have 10 minutes time. Give me a detailed answer in a clear handwriting and follow the instructions. (I will upvote if the solve...

KIndly answer the whole question. The whole question is related. I only have 10 minutes time. Give me a detailed answer in a clear handwriting and follow the instructions.(I will upvote if the solve is correct and I get it soon)

Extracted text: Consider the function f (z) = e3z (a) Use the Cauchy-Riemann equations to show that f (z)is not analytic anywhere. (b) Show that if f (z)is purely imaginary, then z = 6 2n +1 T, n = 0, ±1,±2,....