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Consider the vector-field F(x, y) = y²i-xj, and let C be the arc of the parabola y = k – x² from the point (0,0) to the point (2,k-4), where k is a positive integer. Then the value of the line integral S [.F. F.dĩ

Consider the vector-field F(x, y) = y²i-xj, and let C be the arc of the parabola y = k – x² from the point (0,0) to the point (2,k-4), where k is a positive integer. Then the value of the line integral S [.F. F.dĩ

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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Consider the vector-field F(x, y) = y²i-xj, and let C be the arc of the parabola y = k – x² from the point (0,0) to the point (2,k-4), where k is a positive integer. Then the value of the line integral S [.F. F. dr
Transcribed Image Text:Consider the vector-field F(x, y) = y²i-xj, and let C be the arc of the parabola y = k – x² from the point (0,0) to the point (2,k-4), where k is a positive integer. Then the value of the line integral S [.F. F. dr
b) Od d) Of 16 3 2k² k² 2k² + 16 16 3 4k 3 16 3 176 15 176 15 k k+ k+ k² 176 15 176 15
Transcribed Image Text:b) Od d) Of 16 3 2k² k² 2k² + 16 16 3 4k 3 16 3 176 15 176 15 k k+ k+ k² 176 15 176 15
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