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40. Evaluate c (52² − z² + 2) dz around (a) the circle [z] = 1, (b) the square with vertices at (0, 0), (1, 0), (1, 1), and (0, 1), (c) the curve consisting of the parabolas y = x² from (0, 0) to (1, 1) and y² = x from (1, 1) to (0, 0).

40. Evaluate c (52² − z² + 2) dz around (a) the circle [z] = 1, (b) the square with vertices at (0, 0), (1, 0), (1, 1), and (0, 1), (c) the curve consisting of the parabolas y = x² from (0, 0) to (1, 1) and y² = x from (1, 1) to (0, 0).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4.40. Evaluate (52¹-2³ + 2) dz around (a) the circle |z| = 1, (b) the square with vertices at (0, 0), (1, 0), (1, 1), and (0, 1), (c) the curve consisting of the parabolas y = x² from (0, 0) to (1, 1) and y² = x from (1, 1) to (0, 0).
Transcribed Image Text:4.40. Evaluate (52¹-2³ + 2) dz around (a) the circle |z| = 1, (b) the square with vertices at (0, 0), (1, 0), (1, 1), and (0, 1), (c) the curve consisting of the parabolas y = x² from (0, 0) to (1, 1) and y² = x from (1, 1) to (0, 0).
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