3. The base of a cone is the unit circle centered at the origin in the r – y plane with vertex P = (a, b, c) with c > 0. (a) Parameterize the cone. (b) Express the surface area of the cone as an integral. Note, you won't be able to evaluate the integral using any elementary method.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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3. The base of a cone is the unit circle centered at the origin in the x - y plane with
vertex P = (a, b, c) with c > 0.
(a) Parameterize the cone.
(b) Express the surface area of the cone as an integral. Note, you won't be able to
evaluate the integral using any elementary method.
Transcribed Image Text:3. The base of a cone is the unit circle centered at the origin in the x - y plane with vertex P = (a, b, c) with c > 0. (a) Parameterize the cone. (b) Express the surface area of the cone as an integral. Note, you won't be able to evaluate the integral using any elementary method.
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