If the infinite curve  y = e−4x, x ≥ 0,  is rotated about the x-axis, find the area of the resulting surface.

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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If the infinite curve 

y = e−4x, x ≥ 0,

 is rotated about the x-axis, find the area of the resulting surface.

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