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Suppose that ♬ = 5x²/5 + ev/²3, and let C be the path consisting of (i) an arc along y = x² - 1 from (1,0) to (2, 3) followed by (ii) a line segment from (2, 3) to (-1,0) followed by (iii) a quarter-circular clockwise arc of radius 1 centered at the origin from (-1,0) to (0, 1) Compute the line integral SF. dr. Sc F. dr = (Hint: Is the vector field conservative?)

Suppose that ♬ = 5x²/5 + ev/²3, and let C be the path consisting of (i) an arc along y = x² - 1 from (1,0) to (2, 3) followed by (ii) a line segment from (2, 3) to (-1,0) followed by (iii) a quarter-circular clockwise arc of radius 1 centered at the origin from (-1,0) to (0, 1) Compute the line integral SF. dr. Sc F. dr = (Hint: Is the vector field conservative?)

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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Suppose that ♬ = 5x²/5 + ev/²3, and let C be the path consisting of (i) an arc along y = x² - 1 from (1,0) to (2, 3) followed by (ii) a line segment from (2, 3) to (-1,0) followed by (iii) a quarter-circular clockwise arc of radius 1 centered at the origin from (-1,0) to (0, 1). Compute the line integral SF. dr. Sc F. dr = (Hint: Is the vector field conservative?)
Transcribed Image Text:Suppose that ♬ = 5x²/5 + ev/²3, and let C be the path consisting of (i) an arc along y = x² - 1 from (1,0) to (2, 3) followed by (ii) a line segment from (2, 3) to (-1,0) followed by (iii) a quarter-circular clockwise arc of radius 1 centered at the origin from (-1,0) to (0, 1). Compute the line integral SF. dr. Sc F. dr = (Hint: Is the vector field conservative?)
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