Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 16z) k C is the line segment from (1, 0, -3) to (4, 6, 1) (a) Find a function f such that F = Vf. f(x, y, z)= (b) Use part (a) to evaluate [F F. dr along the given curve C.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider F and C below.
F(x, y, z) = yz i + xz j + (xy + 16z) k
C is the line segment from (1, 0, -3) to (4, 6, 1)
(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.
Transcribed Image Text:Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 16z) k C is the line segment from (1, 0, -3) to (4, 6, 1) (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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