Let S be the funnel-shaped surface defined by x 2 + y2 = z2 for 1 z 9 and x 2 + y2 = 1

Chapter 7, Problem 27

(choose chapter or problem)

Let S be the funnel-shaped surface defined by x 2 + y2 = z2 for 1 z 9 and x 2 + y2 = 1 for 0 z 1. (a) Sketch S. (b) Determine outward-pointing unit normal vectors to S. (c) Evaluate S F dS, where F = y i + x j + z k and S is oriented by outward normals.

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