Consider the region bounded by the curve y = 4x2 - x3 , the x-axis, and the lines x = 1 and x = 3. Call this region R. The region R is rotated about the y-axis, forming a solid of revolution. State whether it would be more appropriate to use the disc method or the shell method to find the volume of this solid. Give a reason for your answer.
Consider the region bounded by the curve y = 4x2 - x3 , the x-axis, and the lines x = 1 and x = 3. Call this region R. The region R is rotated about the y-axis, forming a solid of revolution. State whether it would be more appropriate to use the disc method or the shell method to find the volume of this solid. Give a reason for your answer.
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 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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Consider the region bounded by the curve y = 4x2 - x3 , the x-axis, and the lines x = 1 and x = 3. Call this region R. The region R is rotated about the y-axis, forming a solid of revolution. State whether it would be more appropriate to use the disc method or the shell method to find the volume of this solid. Give a reason for your answer.
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