Consider F and C below. F(x, y, z) = yzexi + e*²j+xyek, C: r(t) = (t² + 1)i + (t² − 2)j + (t² − 3t) k, 0≤t≤ 3 (a) Find a function f such that F = Vf. f(x, y, z) = (b) Use part (a) to evaluate So dr along the given curve C.
Consider F and C below. F(x, y, z) = yzexi + e*²j+xyek, C: r(t) = (t² + 1)i + (t² − 2)j + (t² − 3t) k, 0≤t≤ 3 (a) Find a function f such that F = Vf. f(x, y, z) = (b) Use part (a) to evaluate So dr along the given curve C.
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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Transcribed Image Text:Consider F and C below.
F(x, y, z) = yzexi + ex²j+ xyex² k,
C: r(t) = (t² + 1)i + (t² − 2)j + (t² − 3t) k, 0≤t≤ 3
(a) Find a function f such that F = Vf.
f(x, y, z) =
(b) Use part (a) to evaluate
Jc
F. dr along the given curve C.
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