The base of a three-dimensional figure is bound by the y-axis and the curve x = -3y² + 6 on the interval [-1, 1]. Vertical cross sections that are perpendicular to the y-axis are right triangles with a height equal to 6. Find the numerical volume of the figure. -3-2 O V = 48 OV=30 45 O V= 3 64 OV= 5
The base of a three-dimensional figure is bound by the y-axis and the curve x = -3y² + 6 on the interval [-1, 1]. Vertical cross sections that are perpendicular to the y-axis are right triangles with a height equal to 6. Find the numerical volume of the figure. -3-2 O V = 48 OV=30 45 O V= 3 64 OV= 5
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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![The base of a three-dimensional figure is bound by the y-axis and the curve x = -3y² + 6 on the interval [-1, 1]. Vertical cross sections
that are perpendicular to the y-axis are right triangles with a height equal to 6.
Find the numerical volume of the figure.
4
3
2
1
444
4567
-3-2
-2
&r to w
4
O V = 48
O V = 30
45
V =
3
64
5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6539f692-5656-46fd-b828-f0fe9bb331a2%2F432fd5b6-5aa4-4e48-a000-0dcd6cd164b3%2F3f7j7dc_processed.png&w=3840&q=75)
Transcribed Image Text:The base of a three-dimensional figure is bound by the y-axis and the curve x = -3y² + 6 on the interval [-1, 1]. Vertical cross sections
that are perpendicular to the y-axis are right triangles with a height equal to 6.
Find the numerical volume of the figure.
4
3
2
1
444
4567
-3-2
-2
&r to w
4
O V = 48
O V = 30
45
V =
3
64
5
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