## Question

###### Consider F and C below.F(x, y, z)= yz i + xz j +(xy + 4z) kC is the line segment from (3, 0, âˆ’2) to(4, 4, 3)(a) Find a function f suchthat F = âˆ‡f.f(x, y, z) =(b) Use part (a) to evaluate Câˆ‡f Â· dr along the givencurve C.

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

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