Answer all the questions. Not any single question.

Problem 1 0 points possible (ungraded, results hidden) Integrate the function f (z) = (z - 8i) from z = 0 to z = 4 + 4i along the line x = y. [4] Submit Problem 2 0 points possible (ungraded, results hidden) Let f (z) = zi + (z - 7) Part (a) Integrate the function f (2)along the curve C given by z = to +it from z = 1 + li to z = 8 + 4i Part (b) Integrate the same function along the line from 0 to 9i, then along the line from 9i to 9 + 9i, then finally along the line from 9 + 9i to 0. Note that you are evaluating the integral on a triangular loop. Part (c) Integrate the function f (z )on the circle that goes through 0, 9i, and 9 + 9i. Are the integrals in Part (b) and Part (c) equal