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1: Let F = (2x cos(x² + y²), 2 + 2y cos(x² + y²)) and C be the curve joining (-1,-1) to (-1,0) by traveling on the curves y = x° from (-1,-1) to (0,0), then y = x2 from (0,0) to (1,1) and finally on y = 1 (r+1)(x – 3) from (1,1) to (-1,0). Evaluate F. dr.

1: Let F = (2x cos(x² + y²), 2 + 2y cos(x² + y²)) and C be the curve joining (-1,-1) to (-1,0) by traveling on the curves y = x° from (-1,-1) to (0,0), then y = x2 from (0,0) to (1,1) and finally on y = 1 (r+1)(x – 3) from (1,1) to (-1,0). Evaluate F. dr.

Algebra & Trigonometry with Analytic Geometry
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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1: Let F (-1,-1) to (-1,0) by traveling on the curves y = x° from (-1,-1) to (0,0), then (2.x cos(x2 + y²), 2+ 2y cos(x² + y³)) and C be the curve joining 1 y = x2 from (0,0) to (1,1) and finally on y = -;(x + 1)(x – 3) from (1,1) to | (-1,0). Evaluate F. dr. Hint: The direct computation can be very messy. Try an alternative approach.
Transcribed Image Text:1: Let F (-1,-1) to (-1,0) by traveling on the curves y = x° from (-1,-1) to (0,0), then (2.x cos(x2 + y²), 2+ 2y cos(x² + y³)) and C be the curve joining 1 y = x2 from (0,0) to (1,1) and finally on y = -;(x + 1)(x – 3) from (1,1) to | (-1,0). Evaluate F. dr. Hint: The direct computation can be very messy. Try an alternative approach.
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