2. Let C₁ be the ellipse + 4 16 = 1 traced counterclockwise and C₂ be the triangle with vertices at (-1,2), (1.2), and (0, -2) traced clockwise. Define C = C₁UC₂ and F(x, y) = (-y, 2x). Evaluate e F-dR by direct computation. (a) (b) (c) & f. F. dñ. Use Green's Theorem to find the value of Use (a) and (b) to find the value of [F. DR. C₂
2. Let C₁ be the ellipse + 4 16 = 1 traced counterclockwise and C₂ be the triangle with vertices at (-1,2), (1.2), and (0, -2) traced clockwise. Define C = C₁UC₂ and F(x, y) = (-y, 2x). Evaluate e F-dR by direct computation. (a) (b) (c) & f. F. dñ. Use Green's Theorem to find the value of Use (a) and (b) to find the value of [F. DR. C₂
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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