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. Define F(x, y) =<; +tan ¹y, + 3y² >. 1+y² a. Show that is conservative by finding all its potential functions. b. Based on (a), what is the value of Sc F.dR? 2 √x+2
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. Define F(x, y) =<; +tan ¹y, + 3y² >. 1+y² a. Show that is conservative by finding all its potential functions. b. Based on (a), what is the value of Sc F.dR? 2 √x+2
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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