Let (mathcal{S}) be the surface of the cylinder (not including the top and bottom) of radius 2

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Let \(\mathcal{S}\) be the surface of the cylinder (not including the top and bottom) of radius 2 for \(1 \leq z \leq 6\), oriented with outward-pointing normal (Figure 16).

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(a) Indicate with an arrow the orientation of \(\partial \mathcal{S}\) (the top and bottom circles).
(b) Verify Stokes' Theorem for \(\mathcal{S}\) and \(\mathbf{F}=\left\langle y z^{2}, 0,0ightangle\).

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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