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5. √¸¸xy²dx + 2x²y dy, C is the triangle with vertices (0, 0), (2, 2), and (2, 4)

5. √¸¸xy²dx + 2x²y dy, C is the triangle with vertices (0, 0), (2, 2), and (2, 4)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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090 Copyright 2010 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole Editorial review has deemed that any suppressed content does not materially affect the overall learning experie CHAPTER 16 VECTOR CALCULUS 2.2 4. x²y² dx + xy dy, C consists of the arc of the parabola y = x² from (0, 0) to (1, 1) and the line segments from (1, 1) to (0, 1) and from (0, 1) to (0, 0) E 5-10 Use Green's Theorem to evaluate the line integral along the given positively oriented curve. 5. [xy²dx + 2x²y dy, C is the triangle with vertices (0, 0), (2, 2), and (2, 4) 6. cos y dx + x² sin y dy, C is the rectangle with vertices (0, 0), (5, 0), (5,2), and (0, 2) 8. 9. 7. (y + ev) dx + (2x + cos y²) dy, C is the boundary of the region enclosed by the parabolas y = x² and x = y dx + 2xy dy, is the ellipse x + 2y = 2 dx - x dy. C is the circle x² + y² = 4 Q Search L
Transcribed Image Text:090 Copyright 2010 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole Editorial review has deemed that any suppressed content does not materially affect the overall learning experie CHAPTER 16 VECTOR CALCULUS 2.2 4. x²y² dx + xy dy, C consists of the arc of the parabola y = x² from (0, 0) to (1, 1) and the line segments from (1, 1) to (0, 1) and from (0, 1) to (0, 0) E 5-10 Use Green's Theorem to evaluate the line integral along the given positively oriented curve. 5. [xy²dx + 2x²y dy, C is the triangle with vertices (0, 0), (2, 2), and (2, 4) 6. cos y dx + x² sin y dy, C is the rectangle with vertices (0, 0), (5, 0), (5,2), and (0, 2) 8. 9. 7. (y + ev) dx + (2x + cos y²) dy, C is the boundary of the region enclosed by the parabolas y = x² and x = y dx + 2xy dy, is the ellipse x + 2y = 2 dx - x dy. C is the circle x² + y² = 4 Q Search L
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