Suppose that the surface S is determined by the formula z = g (x, y). Show that

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Suppose that the surface S is determined by the formula z = g (x, y). Show that the surface integral in Stokes's Theorem can be written as a double integral in the following way:
Suppose that the surface S is determined by the formula

Where n is the upward normal to S and Sxy is the projection of S in the xy-plane?

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Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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