The integral represents the volume of a solid of revolution. x dx (a) Identify the plane region that is revolved. y= 0, plane region bounded by y = x*, x= 2 O plane region bounded by x = y, x= 0, y = 0, y = 2 O plane region bounded by y = x, x= 0, x = 0, X = 2 O plane region bounded by y = x y3D8, y = 0, x= 0 O plane region bounded by y x Y-0, x = 0, x= 2 plane region bounded by y = x y= 8, y = 0, X= 0 (b) Identify the axis of revolution. revolved around the line y= 8 revolved around the line x=8 revolved around the line x = 2 revolved about the x-axis revolved about the y-axis revolved around the line y=2

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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The integral represents the volume of a solid of revolution.
x dx
(a) Identify the olane region that is revolved.
O plane region bounded by y= x,
V= 0
x = 0,
O plane region bounded by x =y
y = 0,
y = 2
O plane region bounded by y =x
x= 0,
x= 2
O plane region bounded by y =
y3D 0,
plane region bounded by y
x= 2
plane region bounde
by y=,
X = 0
(b) Identify the axis of revolution.
revolved around theine y-8
revolved around the line x = 8
revolved around the line x = 2
revolved about the x-axis
revolved about the y-axis
O revolved around the line y = 2)
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Transcribed Image Text:The integral represents the volume of a solid of revolution. x dx (a) Identify the olane region that is revolved. O plane region bounded by y= x, V= 0 x = 0, O plane region bounded by x =y y = 0, y = 2 O plane region bounded by y =x x= 0, x= 2 O plane region bounded by y = y3D 0, plane region bounded by y x= 2 plane region bounde by y=, X = 0 (b) Identify the axis of revolution. revolved around theine y-8 revolved around the line x = 8 revolved around the line x = 2 revolved about the x-axis revolved about the y-axis O revolved around the line y = 2) Submit Answer 重
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