Question: Use Stokes Theorem to evaluate C F dr. In each case C is oriented counterclockwise as viewed from above. F(x, y, z) =

Use Stokes Theorem to evaluate ∫C F · dr. In each case C is oriented counterclockwise as viewed from above.

F(x, y, z) = yz i + 2xzj + exyk, C is the circle x2 + y2 = 16, z = 5


Data from Stokes Theorem

Let S be an oriented piecewise-smooth surface that is bounded by a simple, closed, piecewise-smooth boundary curve C with positive orientation. Let F be a vector field whose components have continuous partial derivatives on an open region in R3 that contains S. Then

S F dr = ff S curl F. dS

S F dr = ff S curl F. dS

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