a. Find a function (f(x,y,z)) such that (F = Vf(x,y,z))? b. Use part (a) to evaluate (F. dr ) along the given curve (C)? F(x,y,z) (6xyz) î + 3x²zj + (3x²y + 5z) k C is the line segment from (1, − 1, − 2) to (− 1,2,4) - =

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 function (f(x,y,z)) such that (F
Vf(x,y,z))?
b. Use part (a) to evaluate (F. dr ) along the given curve (C)?
F(x,y,z)
=
=
(6xyz)i + 3x²zj + (3x²y + 5z) k
C is the line segment from (1, -1, -2) to (− 1,2,4)
Transcribed Image Text:a. Find a function (f(x,y,z)) such that (F Vf(x,y,z))? b. Use part (a) to evaluate (F. dr ) along the given curve (C)? F(x,y,z) = = (6xyz)i + 3x²zj + (3x²y + 5z) k C is the line segment from (1, -1, -2) to (− 1,2,4)
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