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Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 12z) k C is the line segment from (3, 0, -3) to (5, 4, 1) (a) Find a function f such that F = Vf. f(x, y, z)= (b) Use part (a) to evaluate Vf. dr along the given curve C.

Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 12z) k C is the line segment from (3, 0, -3) to (5, 4, 1) (a) Find a function f such that F = Vf. f(x, y, z)= (b) Use part (a) to evaluate Vf. dr along the given curve C.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider F and C below. F(x, y, z) = yzi+xzj + (xy + 12z) k C is the line segment from (3, 0, -3) to (5, 4, 1) (a) Find a function f such that F = Vf. f(x, y, z) = (b) Use part (a) to evaluate S Vf. dr along the given curve C.
Transcribed Image Text:Consider F and C below. F(x, y, z) = yzi+xzj + (xy + 12z) k C is the line segment from (3, 0, -3) to (5, 4, 1) (a) Find a function f such that F = Vf. f(x, y, z) = (b) Use part (a) to evaluate S Vf. dr along the given curve C.
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