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7. We have given the following curve integral: p (y² – a²) dæ + (x² +y²) dy where the edge of the area is bounded by = 0, x = 3, y = x C is positive-oriented. (A) Find a parameterization to C: (b) Determine the integral using the definition (without Green's theorem) (c) Determine the integral using Green's theorem.

7. We have given the following curve integral: p (y² – a²) dæ + (x² +y²) dy where the edge of the area is bounded by = 0, x = 3, y = x C is positive-oriented. (A) Find a parameterization to C: (b) Determine the integral using the definition (without Green's theorem) (c) Determine the integral using Green's theorem.

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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7. We have given the following curve integral: P (y? – x2) dæ + (x² + y²) dy where the edge of the area is bounded by y = 0, x = 3, y = x C is positive-oriented. (A) Find a parameterization to C: (b) Determine the integral using the definition (without Green's theorem) (c) Determine the integral using Green's theorem.
Transcribed Image Text:7. We have given the following curve integral: P (y? – x2) dæ + (x² + y²) dy where the edge of the area is bounded by y = 0, x = 3, y = x C is positive-oriented. (A) Find a parameterization to C: (b) Determine the integral using the definition (without Green's theorem) (c) Determine the integral using Green's theorem.
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