Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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
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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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