In Problem, (a) use mappings to determine upper and lower bounds on the modulus of the giv...

In Problem, (a) use mappings to determine upper and lower bounds on the modulus of the given function f(z) defined on the given set S. That is, find real values L and M such that L ≤ |f(z)| ≤ M for all z in S and (b) find complex values z0 and z1 in S such that |f(z0)| = L and |f(z1)| = M.

 S is the set defined by 2 ≤ |z| ≤ 3, 0 ≤ arg(z) ≤ π