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Let D be the region shown in the figure that lies inside the square with vertices (±3, 0) and (0, +3) with boundary curve C₁, and outside the square with edge length 1 that has boundary curve C₂. (-3,0) y (0,3) (0,-3) (3,0) x JC₂ Let F = (P(x, y), Q(x, y), 0) be a continuously differentiable vector field. Use Green's theorem to compute the circulation of F around C₂ if. dr = 220 and the z-component of the curl of is equal to 3 on D.

Let D be the region shown in the figure that lies inside the square with vertices (±3, 0) and (0, +3) with boundary curve C₁, and outside the square with edge length 1 that has boundary curve C₂. (-3,0) y (0,3) (0,-3) (3,0) x JC₂ Let F = (P(x, y), Q(x, y), 0) be a continuously differentiable vector field. Use Green's theorem to compute the circulation of F around C₂ if. dr = 220 and the z-component of the curl of is equal to 3 on D.

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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Let D be the region shown in the figure that lies inside the square with vertices (±3, 0) and (0, ±3) with boundary curve C₁, and outside the square with edge length 1 that has boundary curve (-3,0) y (0,3) (0,-3) C₁ C₂ (3,0) x C1 Let F = (P(x, y), Q(x, y), 0) be a continuously differentiable vector field. Use Green's theorem to compute the circulation of F around C₂ if F. dr = 220 and the z-component of the curl of F is equal to 3 on D.
Transcribed Image Text:Let D be the region shown in the figure that lies inside the square with vertices (±3, 0) and (0, ±3) with boundary curve C₁, and outside the square with edge length 1 that has boundary curve (-3,0) y (0,3) (0,-3) C₁ C₂ (3,0) x C1 Let F = (P(x, y), Q(x, y), 0) be a continuously differentiable vector field. Use Green's theorem to compute the circulation of F around C₂ if F. dr = 220 and the z-component of the curl of F is equal to 3 on D.
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