Question: Problem 1 (5+5+5=15 points) (a)Compute the integral Sc f(z)dz for f(z) = 7 C = {r +it : 1 (0,2]} (b)-(c)Verify Cauchy's theorem for

Problem 1 (5+5+5=15 points) (a)Compute the integral Sc f(z)dz for f(z) =

Problem 1 (5+5+5=15 points) (a)Compute the integral Sc f(z)dz for f(z) = 7 C = {r +it : 1 (0,2]} (b)-(c)Verify Cauchy's theorem for the functions f(z) = 3z + iz 4, f(2) = 5 sin(2z), if C is the square with vertices 1ti, -1+i.

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