Question: 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

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:

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

(curl F) n dS(curl F).(gi k) dA

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