x² y² 9 4 2. Let C₁ be the ellipse + = 1 traced counterclockwise and C₂ be the paral- lelogram with vertices at (2, 1), (1,-1), (-1,-1), and (0, 1) traced clockwise. Define C = C₁ UC₂ F(x, y) = (1 − y, x + c³²). (a) (b) (c) [..F. Evaluate F. dR by direct computation. Use Green's Theorem to find the value of i [F-dk. [F.dR. Use (a) and (b) to find the value of
x² y² 9 4 2. Let C₁ be the ellipse + = 1 traced counterclockwise and C₂ be the paral- lelogram with vertices at (2, 1), (1,-1), (-1,-1), and (0, 1) traced clockwise. Define C = C₁ UC₂ F(x, y) = (1 − y, x + c³²). (a) (b) (c) [..F. Evaluate F. dR by direct computation. Use Green's Theorem to find the value of i [F-dk. [F.dR. Use (a) and (b) to find the value of
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 29E
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