The integral represents the volume of a solid of revolution. 2n x dx (a) Identify the plane region that is revolved. O plane region bounded by y = x³, y = 0, X = 0, X = 2 O plane region bounded by y = x², y = 4, y = 0, X = 0 O plane region bounded by x = y2, x = 0, y = 0, y = 2 %3D O plane region bounded by y = x', y = 4, y = 0, X = 0 %3D O plane region bounded by y = . x1/2, y = 0, X = 0, X = 2 !3! O plane region bounded by y = x2, y = 0, X = 0, X = 2 %3! (b) Identify the axis of revolution. O revolved around the line y = 2 O revolved about the x-axis O revolved around the line y = 4 %3D O revolved about the y-axis O revolved around the line x = 2 revolved around the line x = 4 %3D
The integral represents the volume of a solid of revolution. 2n x dx (a) Identify the plane region that is revolved. O plane region bounded by y = x³, y = 0, X = 0, X = 2 O plane region bounded by y = x², y = 4, y = 0, X = 0 O plane region bounded by x = y2, x = 0, y = 0, y = 2 %3D O plane region bounded by y = x', y = 4, y = 0, X = 0 %3D O plane region bounded by y = . x1/2, y = 0, X = 0, X = 2 !3! O plane region bounded by y = x2, y = 0, X = 0, X = 2 %3! (b) Identify the axis of revolution. O revolved around the line y = 2 O revolved about the x-axis O revolved around the line y = 4 %3D O revolved about the y-axis O revolved around the line x = 2 revolved around the line x = 4 %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The integral represents the volume of a solid of revolution.
2n
x dx
(a) Identify the plane region that is revolved.
O plane region bounded by y = x',
y = 0,
X = 0,
X = 2
!3!
O plane region bounded by y = x2,
y = 4,
y = 0,
X = 0
O plane region bounded by x = y2, x = 0,
y = 0,
y = 2
%3D
O plane region bounded by y = x',
y = 4,
y = 0,
X = 0
%3D
O plane region bounded by y = .
x1/2,
y = 0,
X = 0,
X = 2
!3!
O plane region bounded by y = x2,
y = 0,
X = 0,
X = 2
%3D
(b) Identify the axis of revolution.
O revolved around the line y = 2
O revolved about the x-axis
O revolved around the line y = 4
%3D
revolved about the y-axis
O revolved around the line x = 2
revolved around the line x = 4
%3D
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