Calculate the circulation of the field F around the closed curve C. F = y 3i+x2 j; curve C is the counterclockwise path around the triangle with vertices at (0, 0), (3, 0), and (0, 5). HINT: Use Greens Theorem 0. 315 315 4 435

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
Problem 12P
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Calculate the circulation of the field F around the closed curve C.
F = y 3i+x2 j; curve C is the counterclockwise path around the triangle with vertices at (0, 0), (3, 0), and (0, 5). HINT: Use Greens Theorem
315
4
315
4
435
Transcribed Image Text:Calculate the circulation of the field F around the closed curve C. F = y 3i+x2 j; curve C is the counterclockwise path around the triangle with vertices at (0, 0), (3, 0), and (0, 5). HINT: Use Greens Theorem 315 4 315 4 435
Calculate the circulation of the field F around the closed curve C.
F = (-x - y) i + (x + y) j, curve C is the counterclockwise path around the circle with radius 4 centered at (8, 5) HINT: Use Greens Theorem
64TT
32TT
32(1 + TT) + 208
32(1 + TT)
Transcribed Image Text:Calculate the circulation of the field F around the closed curve C. F = (-x - y) i + (x + y) j, curve C is the counterclockwise path around the circle with radius 4 centered at (8, 5) HINT: Use Greens Theorem 64TT 32TT 32(1 + TT) + 208 32(1 + TT)
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