Consider the solid obtained by rotating the region bounded by the given curves about tthe specified line. y=-1, y= 0, = 7: about the x-anis Set up an integral that can be used to determine the volume Vof the solid. V= Find the volume of the solid. Sketch the region.

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 solid obtained by rotating the region bounded by the given curves about the specified line.
y = x-1, y= 0, x = 7;
about the x-axis
Set up an integral that can be used to determine the volume V of the solid.
V =
dx
Find the volume of the solid.
V =
Sketch the region.
y
Sketch the solid and a typical disk or washer.
Graph
Graph Description
Graph
Graph Description
Graph
Graph Description
Graph
Graph Description
4-3-2- +2 3 4 76
424
-6
-7
-8
Transcribed Image Text:Consider the solid obtained by rotating the region bounded by the given curves about the specified line. y = x-1, y= 0, x = 7; about the x-axis Set up an integral that can be used to determine the volume V of the solid. V = dx Find the volume of the solid. V = Sketch the region. y Sketch the solid and a typical disk or washer. Graph Graph Description Graph Graph Description Graph Graph Description Graph Graph Description 4-3-2- +2 3 4 76 424 -6 -7 -8
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