1. Let R be the rectangle formed by going along line segments from 1 to i...

1. Let R be the rectangle formed by going along line segments from 1 to i to -1 to -i and back to 1. If f(z)=1/(z-5i) then the integral around R of f(z) has value of?

2. Let C be the circle of radius fifty centered at the origin with positive orientation. Then the integral around C of f(z) = 1/(z-4) has value of?

3. Let C be the circle of radius fifty centered at the origin with positive orientation

of F(z)=[1/(z-i)] + [1/(z-2)] then the integral around C of F(z) has value of?

4. Let C be the circle of radius six centered at the origin with positive orientation.

If G(z) = [1/(z-2)] + [1/(z-8)] then the integral around C of G(z) has value of?

5. The integral of f(z) = 1/[(z-5)(z-8)] around the circle of radius one centered at z=1 with positive orientation has value zero? True or false?

Expert Solution

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Colby Messinger answered 1 year ago

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