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5. Perform the line integral [F-dr, for the vector field F(x, y) = (²²) i + (³²) j where the curve C is r(t) (3-21, ³+21), with 0≤t≤1. NOTE Useful Hint: you can use the Fundamental Theorem of Line Integrals, since F = V (¹³).

5. Perform the line integral [F-dr, for the vector field F(x, y) = (²²) i + (³²) j where the curve C is r(t) (3-21, ³+21), with 0≤t≤1. NOTE Useful Hint: you can use the Fundamental Theorem of Line Integrals, since F = V (¹³).

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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5. Perform the line integral F -dr, for the vector field F(x, y) = (x²y³)i + (r³y²) j where the curve C is r(t) = (3-2t, t3+2t), with 0≤t≤1. NOTE Useful Hint: you can use the Fundamental Theorem of Line Integrals, since F = ▼ (}x³y³).
Transcribed Image Text:5. Perform the line integral F -dr, for the vector field F(x, y) = (x²y³)i + (r³y²) j where the curve C is r(t) = (3-2t, t3+2t), with 0≤t≤1. NOTE Useful Hint: you can use the Fundamental Theorem of Line Integrals, since F = ▼ (}x³y³).
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