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Compute the work done by F = (3y, -2x, 3y) over the circle x² + y² = 9, z = 2 (oriented counterclockwise) by using Stoke's theorem. Find and classify (using the second derivative test) the

Compute the work done by F = (3y, -2x, 3y) over the circle x² + y² = 9, z = 2 (oriented counterclockwise) by using Stoke's theorem. Find and classify (using the second derivative test) the

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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Compute the work done by F = (3y, -2x, 3y) over the circle x² + y² = 9, z = 2 (oriented counterclockwise) by using Stoke's theorem.Find and classify (using the second derivative test) the critical points of the function f(x, y) = x³ + 2xy - 2y² - 10. (10
Transcribed Image Text:Compute the work done by F = (3y, -2x, 3y) over the circle x² + y² = 9, z = 2 (oriented counterclockwise) by using Stoke's theorem.Find and classify (using the second derivative test) the critical points of the function f(x, y) = x³ + 2xy - 2y² - 10. (10
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