hw10-201141 - Homework 10 dz, using a branch of log z,...

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Homework 10 (1) Evaluate R γ 1 z dz , using a branch of log z , where γ is the join of the line segments [1 - i, 1 + i ], [1 + i, - 1 + i ],and [ - 1 + i, - 1 - i ], starting at 1 - i and traversing the curve once (see figure 1). Figure 1. γ (2) Compute Z 2 π 0 e cos t [cos(sin t + t )] dt and Z 2 π 0 e cos t [sin(sin t + t )] dt by computing R
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This note was uploaded on 02/05/2012 for the course MATH 703 taught by Professor Schep during the Fall '11 term at South Carolina.

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