The base of a three-dimensional figure is bound by the line y = √x + 2 on the interval [-1, 1]. Vertical cross sections perpendicular to the x-axis are rectangles with a height equal to one-half the width. Find the volume of the figure.
The base of a three-dimensional figure is bound by the line y = √x + 2 on the interval [-1, 1]. Vertical cross sections perpendicular to the x-axis are rectangles with a height equal to one-half the width. Find the volume of the figure.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 9P: A soda can is made from 40 square inches of aluminum. Let x denote the radius of the top of the can,...
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![The base of a three-dimensional figure is bound by the line y = √x + 2 on the interval [-1, 1]. Vertical cross sections that are
perpendicular to the x-axis are rectangles with a height equal to one-half the width.
Find the volume of the figure.
5 4 3 2 1 1 2 3 4 5
OV=4.131
OV=2.797
O V=
O V=2
1 2 3
6 7 8 9
10 Next
F9
F10
F2
W
S
#
3
80
E
D
F3
$
4
F4
R
F
%
5
F5
T
G
MacBook Air
F6
A
6
Y
&
7
H
U
4
8
J
5
FB
1
9
K
1
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Transcribed Image Text:The base of a three-dimensional figure is bound by the line y = √x + 2 on the interval [-1, 1]. Vertical cross sections that are
perpendicular to the x-axis are rectangles with a height equal to one-half the width.
Find the volume of the figure.
5 4 3 2 1 1 2 3 4 5
OV=4.131
OV=2.797
O V=
O V=2
1 2 3
6 7 8 9
10 Next
F9
F10
F2
W
S
#
3
80
E
D
F3
$
4
F4
R
F
%
5
F5
T
G
MacBook Air
F6
A
6
Y
&
7
H
U
4
8
J
5
FB
1
9
K
1
L
<
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