Question: (a) Find a function f such that F = f (b) Use part (a) to evaluate C F dr along the given curve

(a) Find a function f such that F = ∇f

(b) Use part (a) to evaluate ∫C F • dr along the given curve C.

F(x, y, z) = y2 cos z i + 2xy cos z j – xy2 sin z k, C: r(t) = t2i + sin tj + tk, 0 ≤ t ≤ π

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