Consider F and C below.
F(x, y, z) = yz i + xz j + (xy + 14z) k
C is the line segment from (3, 0, −1) to (6, 4, 2)
(a) Find a function f such that F =∇f.
f(x, y, z) =
(b) Use part (a) to evaluate
∇f · dr along the given curve C.
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