Consider the following region R and the vector field F. a. Compute the two-dimensional divergence of the vector field. b. Evaluate both integrals in Green's Theorem and check for consistency. F = (-2y, -x); R is the triangle with vertices (0,0), (6,0), and (0,3).
Consider the following region R and the vector field F. a. Compute the two-dimensional divergence of the vector field. b. Evaluate both integrals in Green's Theorem and check for consistency. F = (-2y, -x); R is the triangle with vertices (0,0), (6,0), and (0,3).
Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
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![Consider the following region R and the vector field F.
a. Compute the two-dimensional divergence of the vector field.
b. Evaluate both integrals in Green's Theorem and check for consistency.
F = (-2y, - x); R is the triangle with vertices (0,0), (6,0), and (0,3).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F776a07ce-21ba-443e-aa37-00f610ca7adb%2F2e0aefed-984b-40a2-8861-edb4d906c6cc%2Fq4agsgj_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following region R and the vector field F.
a. Compute the two-dimensional divergence of the vector field.
b. Evaluate both integrals in Green's Theorem and check for consistency.
F = (-2y, - x); R is the triangle with vertices (0,0), (6,0), and (0,3).
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