a) Find a potential function for the vector field, i.e., find a function ƒ so that F =Vƒ. b) Use the potential function found above and the Fundamental Theorem for Line Integrals to find fF.dr, where F =< 3x²y²,2x³y> and the curve C is r(t) =,0 ≤t≤1.

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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a) Find a potential function for the vector field, i.e., find a function f so
that F =Vf.
b) Use the potential function found above and the Fundamental Theorem for Line Integrals to
find F.dr, where F =< 3x²y²,2x³y> and the curve C is
r(t) =<t+1,²-2,0>,0 ≤ t≤1.
Transcribed Image Text:a) Find a potential function for the vector field, i.e., find a function f so that F =Vf. b) Use the potential function found above and the Fundamental Theorem for Line Integrals to find F.dr, where F =< 3x²y²,2x³y> and the curve C is r(t) =<t+1,²-2,0>,0 ≤ t≤1.
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