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

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 18P

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Please can you answer both questions it will be great I really need them

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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