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please solve all the problems Problem 1 0 points possible (ungraded, results hidden) Integrate the function f (z) = (z - 321) from z =

please solve all the problems

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Problem 1 0 points possible (ungraded, results hidden) Integrate the function f (z) = (z - 321) from z = 0 to z = 16 + 161 along the line x = y. [4 Submit Problem 2 0 points possible (ungraded, results hidden) Let f (z) = zi + (2-2) Part (a) Integrate the function f (z)along the curve C given by z = 13 +it? from z = 1 + lito z = 64 + 16i 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 (2)on the circle that goes through 0, 9i, and 9 + 9i. Are the integrals in Part (b) and Part (c) equal? [6] Submit Problem 3 0 points possible (ungraded, results hidden) Let f ( 2) = - Part (a) Integrate the function f (2)along the curve C in the complex plane given by x = =from x = 0.5 to x = 2 Part (b) Integrate the same function along the unit circle in the complex plane, i.e. on |z| = 1. Problem 4 0 points possible (ungraded, results hidden) Let f (z) = e?z Part (a) Find the integral of the function f (2)on the circle of radius 8 centered around 0 in the complex plane. Part (b) Now, find the integral of the same function on an ellipse in the complex plane given by the equation + 256 = 1 [6]

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