?Use Stokes' Theorem to evaluate \(\iint_S\) curl \(\mathbf{F} \cdot d \mathbf{S}\)
Chapter 16, Problem 32(choose chapter or problem)
Use Stokes' Theorem to evaluate \(\iint_S\) curl \(\mathbf{F} \cdot d \mathbf{S}\), where \(\mathbf{F}(x, y, z)=x^2 y z \mathbf{i}+y z^2 \mathbf{j}+z^3 e^{x y} \mathbf{k}\), S is the part of the sphere \(x^2+y^2+z^2=5\) that lies above the plane z=1, and S is oriented upward.
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