Let C = C₁ U C2 U C3, where C₁ is the line segment from (-1, −1) to (0, 0), C2 is the linesegment from (0, 0) to (−1, 1), and C3 is the portion of the circle x² + y² = 2 from (−1, 1) to(-1,-1) traced counterclockwise.1xDefine F(x, y) =< + tan´¹y, +3y² >.2 √x+21+y²a. Show that I is conservative by finding all its potential functions.b. Based on (a), what is the value of SF · dR?

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Let C = C₁ U C2 U C3, where C₁ is the line segment from (-1, -1) to (0, 0), C₂ is the line segment from (0, 0) to (-1, 1), and C3 is the portion of the circle x² + y² = 2 from (-1, 1) to (-1,-1) traced counterclockwise. 1 Define F(x, y) +tan ¹y, 2 √x+2 1+y² a. Show that is conservative by finding all its potential functions. b. Based on (a), what is the value of FdR? + 3y²>.

Let C = C₁ U C2 U C3, where C₁ is the line segment from (-1, -1) to (0, 0), C₂ is the line segment from (0, 0) to (-1, 1), and C3 is the portion of the circle x² + y² = 2 from (-1, 1) to (-1,-1) traced counterclockwise. 1 Define F(x, y) +tan ¹y, 2 √x+2 1+y² a. Show that is conservative by finding all its potential functions. b. Based on (a), what is the value of FdR? + 3y²>.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 33E

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