x²y²2. Let C₁ be the ellipse +9 41 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(a)(b)(c)Evaluate=JaF(x, y) ==· (1 − y, x + ev²).FdR by direct computation.Use Green's Theorem to find the value ofJaUse (a) and (b) to find the value of[ F. dR.F.dR.

For 1st part we will use ∫F.dR=∫abFRt.R'tdt For green's theorem ∫C P d x + Q d y = ∫∫D ∂Q∂x-∂P∂y…

y² 2. Let C₁ be the ellipse + = 9 4 = 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 + €³²). F-dR by direct computation. (a) (b) (c) Evaluate Use Green's Theorem to find the value of Jo Use (a) and (b) to find the value of F.dR. Sc F.dR.

y² 2. Let C₁ be the ellipse + = 9 4 = 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 + €³²). F-dR by direct computation. (a) (b) (c) Evaluate Use Green's Theorem to find the value of Jo Use (a) and (b) to find the value of F.dR. Sc F.dR.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.3: Hyperbolas

Problem 29E

See similar textbooks