HW5 - theorems that have a name, mention that (e.g. By Mean...

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P ROBLEM SET 5 due in class on Friday, February 13. Complex Variables MAT334 Remark: Please try to write clearly. In particular every statement that you make in your solution should follow from the assumptions of the problem, some of the material that was a prerequisite for the course (high-school algebra, calculus), was done in class, or some of the statements that you have already established in your solution. If you are using some of the
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Unformatted text preview: theorems that have a name, mention that (e.g. By Mean Value Theorem. ..). 1. Sec 2.2 problems 2, 8, 10, 19 part (c), 22 (here the authors also assumed that r > ) 2. Sec 1.6 problems 2, 3, 8, 15 3. Evaluate the integral R 1 z dz where is the curve: (a) line segments from i + 1 to i-2 and then to-4 i-2 , (b) line segments from i + 1 to-4 i + 1 and then to-4 i-2 , (c) line segment from i + 1 to-4 i-2 ....
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