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Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C. F=(x2 + y 2)i + (x-y) j; C is the rectangle with vertices at (0, 0), (6, 0), (6, 9), and (0,9) O 540 432 0 -432

Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C. F=(x2 + y 2)i + (x-y) j; C is the rectangle with vertices at (0, 0), (6, 0), (6, 9), and (0,9) O 540 432 0 -432

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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Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C. F = (x 2 + y 2)i + (x - y) j; C is the rectangle with vertices at (0, 0), (6, 0), (6, 9), and (0, 9) 540 432 00 Ⓒ-432 Calculate the flow/ line integral in the field F along the path C. F=y2i+zj +xk; C is the curve r(t) = (-2+ 2t) i + 3t j - 3t k, 0st≤2 06 96 30 192
Transcribed Image Text:Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C. F = (x 2 + y 2)i + (x - y) j; C is the rectangle with vertices at (0, 0), (6, 0), (6, 9), and (0, 9) 540 432 00 Ⓒ-432 Calculate the flow/ line integral in the field F along the path C. F=y2i+zj +xk; C is the curve r(t) = (-2+ 2t) i + 3t j - 3t k, 0st≤2 06 96 30 192
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