Find the volume generated when the given curve is rotated about the x-axis from x=o to x=1. * 3 y = (x + 4) 0≤x≤1 "

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
4
Find the volume generated when the given
curve is rotated about the x-axis from x=0
to x=1. *
3
y = (x + 4)
0 ≤ x ≤ 1
5
Find the volume generated when the given
curve is rotated about the y-axis from x=o
to x=1. *
3
y = (x + 4) ³,0 ≤ x ≤ 1
6
Find the area enclosed by the given curves.
*
3
y = x³ and
y = 4x
Transcribed Image Text:4 Find the volume generated when the given curve is rotated about the x-axis from x=0 to x=1. * 3 y = (x + 4) 0 ≤ x ≤ 1 5 Find the volume generated when the given curve is rotated about the y-axis from x=o to x=1. * 3 y = (x + 4) ³,0 ≤ x ≤ 1 6 Find the area enclosed by the given curves. * 3 y = x³ and y = 4x
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