Question: In Exercises 51 and 52, (a) Show that C F dr is independent of path (b) Calculate the work done by the force

In Exercises 51 and 52,

(a) Show that ∫C F · dr is independent of path

(b) Calculate the work done by the force field F on an object moving along a curve from P to Q.

F(x, y) = (1 - 3xy2)i - 3x2yj; P(4, 2), Q(0, 1)

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