EBK NUMERICAL ANALYSIS
EBK NUMERICAL ANALYSIS
10th Edition
ISBN: 9781305465350
Author: BURDEN
Publisher: YUZU
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Evaluate the line integral sin z dz, So sin where C is the portion of the curve y = x² from 0 to −1 + i.
Let f(z) be complex differentiable everywhere in C. Fix two distinct complex numbers a and b and a circle C of radius R with |a| < R,|b| < R traversed in the counter-clockwise direction. Evaluate the integral Sc − f(z)dz (z - a)(z – b) in terms of a, b and the values of f at those points.
| Let C be a circle (with a positive radius) such that z = 1 lies in its interior. Evaluate the contour integral So Tz zez (z - 1)³ = where C is traversed in the clockwise direction. dz
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