Let F(x, y) = x²e* i+ 60x²y² j, and let C1 denote the curve consisting of the line segment from (0,0) to (1,1), followed by the arc of the circle x² + y? (1, –1) to (0,0) (see figure to the right). >(1, 1) = 2 from (1,1) to (1, –1), followed by the line segment from (0, 0) »(1, –1) Calculate Sc, F • dr, where C2 is the dotted line segment starting at (1, –1) and ending at (1, 1). Show your work, and circle your final answer.

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 34E
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Let F(x, y) = x²e* i + 60x²y² 3, and let C1 denote the curve consisting
of the line segment from (0, 0) to (1, 1), followed by the arc of the circle
x2 + y?
(1, –1) to (0,0) (see figure to the right).
>(1, 1)
2 from (1,1) to (1, –1), followed by the line segment from
(0, 0)
»(1, –1)
Calculate Sa, F . dr, where C2 is the dotted line segment starting at (1, –1) and ending at (1,1). Show
your work, and circle your final answer.
Transcribed Image Text:Let F(x, y) = x²e* i + 60x²y² 3, and let C1 denote the curve consisting of the line segment from (0, 0) to (1, 1), followed by the arc of the circle x2 + y? (1, –1) to (0,0) (see figure to the right). >(1, 1) 2 from (1,1) to (1, –1), followed by the line segment from (0, 0) »(1, –1) Calculate Sa, F . dr, where C2 is the dotted line segment starting at (1, –1) and ending at (1,1). Show your work, and circle your final answer.
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