math

Consider F and C below.
F(x, y, z) = yz i + xz j + (xy + 14z) k
C is the line segment from (2, 0, −2) to (5, 5, 1)
(a) Find a function f such that F = ∇f.

f(x, y, z) =

(b) Use part (a) to evaluate integral C ∇f · dr along the given curve C.

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