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Find the surface area generated by rotating the given curve about the y-axis. x = et − t, y = 4et/2, 0 ≤ t ≤ 7

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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Question

Find the surface area generated by rotating the given curve about the y-axis.

x = e^t − t, y = 4e^t/2, 0 ≤ t ≤ 7

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