Suppose f is a nonnegative function with a continuous first derivative on [a, b]. Let L equal
Question:
Suppose f is a nonnegative function with a continuous first derivative on [a, b]. Let L equal the length of the graph of f on [a, b] and let S be the area of the surface generated by revolving the graph of f on [a, b] about the x-axis. For a positive constant C, assume the curve y = f(x) + C is revolved about the x-axis. Show that the area of the resulting surface equals the sum of S and the surface area of a right circular cylinder of radius C and height L.
Step by Step Answer:
The area obtained by rev...View the full answer
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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