Consider the vector field F(x, y, z) = (5z + 3y)i + (3z + 3x)j + (3y + 5x) k. a) Find a function f such that F = Vƒ and f(0, 0, 0) = 0. f(x, y, z) = b) Suppose C is any curve from (0, 0, 0) to (1, 1, 1). Use part a) to compute the line integral SF. dr.
Consider the vector field F(x, y, z) = (5z + 3y)i + (3z + 3x)j + (3y + 5x) k. a) Find a function f such that F = Vƒ and f(0, 0, 0) = 0. f(x, y, z) = b) Suppose C is any curve from (0, 0, 0) to (1, 1, 1). Use part a) to compute the line integral SF. dr.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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![Consider the vector field F(x, y, z) = (5z + 3y)i + (3z + 3x)j + (3y + 5x) k.
a) Find a function f such that F = Vƒ and f(0, 0, 0) = 0.
f(x, y, z) =
b) Suppose C is any curve from (0, 0, 0) to (1, 1, 1). Use part a) to compute the line
integral SF. dr.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9d15e77-8c44-4e48-af9a-bae33a9e346c%2F409bee15-531c-491a-a897-4ed1c3721bc1%2Fqumc07q_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the vector field F(x, y, z) = (5z + 3y)i + (3z + 3x)j + (3y + 5x) k.
a) Find a function f such that F = Vƒ and f(0, 0, 0) = 0.
f(x, y, z) =
b) Suppose C is any curve from (0, 0, 0) to (1, 1, 1). Use part a) to compute the line
integral SF. dr.
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