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F(x, y, z) = (2xe*) i+ (2y + 3y?22)j+ (x²e* + 2y³z) k is conservative. Find a functionf such that F = Vf. Then use f to evaluate the line integral F. dr

F(x, y, z) = (2xe*) i+ (2y + 3y?22)j+ (x²e* + 2y³z) k is conservative. Find a functionf such that F = Vf. Then use f to evaluate the line integral F. dr

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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4. Let C be the space curve r(t) = (2t – 2) i+ 3t° j+ (t3 – t) k for 0 <t < 1. The vector field
Transcribed Image Text:4. Let C be the space curve r(t) = (2t – 2) i+ 3t° j+ (t3 – t) k for 0 <t < 1. The vector field
F(x, y, z) = (2xe*) i+ (2y + 3y?22) j+ (x²e* + 2y°z) k is conservative. Find a function f such that F = Vf. Then use f to evaluate the line integral F. dr
Transcribed Image Text:F(x, y, z) = (2xe*) i+ (2y + 3y?22) j+ (x²e* + 2y°z) k is conservative. Find a function f such that F = Vf. Then use f to evaluate the line integral F. dr
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