Investigation The surface of a goblet is formed by

Chapter 12, Problem 70

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Investigation The surface of a goblet is formed by revolving the graph of the function about the axis. The measurements are given in centimeters. (a) Use a computer algebra system to graph the surface. (b) Find the volume of the goblet. (c) Find the curvature of the generating curve as a function of Use a graphing utility to graph (d) If a spherical object is dropped into the goblet, is it possible for it to touch the bottom? Explain.

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