Need help on 31 and 33 please show work. Thank you In Exercises 29-34, find the volume of the solid obtained by rotating region A in Figure 13about the given axis.y = x+26.2.B2.Rogawski et al., Calculus: EarlyTranscendentals, 4e, 2019W. H. Freeman and CompanyFIGURE 1329. I-axis30. y =-231. y = 232. у-аxis33. -334. I = 2mion Rin Figure 13

In Exercises 29-34, find the volume of the solid obtained by rotating region A in Figure 13 about the given axis. y= x + 2 A 1 2 Rogawski et al., Calculus: Early Transcendentals, 4e, 2019 W. H. Freeman and Company FIGURE 13 29. 1-аxis 30. y =-2 31. y = 2

In Exercises 29-34, find the volume of the solid obtained by rotating region A in Figure 13 about the given axis. y= x + 2 A 1 2 Rogawski et al., Calculus: Early Transcendentals, 4e, 2019 W. H. Freeman and Company FIGURE 13 29. 1-аxis 30. y =-2 31. 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.

Chapter9: Surfaces And Solids

Section9.CR: Review Exercises

Problem 22CR

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Need help on 31 and 33 please show work. Thank you

In Exercises 29-34, find the volume of the solid obtained by rotating region A in Figure 13
about the given axis.
y = x+2
6.
2.
B
2.
Rogawski et al., Calculus: Early
Transcendentals, 4e, 2019
W. H. Freeman and Company
FIGURE 13
29. I-axis
30. y =-2
31. y = 2
32. у-аxis
33. -3
34. I = 2
mion Rin Figure 13

Expert Solution

Step 1

From the given information, the upper curve is $y = 6$ and the lower curve is $y = x^{2} + 2$ , The axis of the rotation is y=2.

It is known that, by the washer method the volume of the solid obtained by rotating the region bounded between two curves f(x) and g(x) about the axis y=c is given as,

$V = π \int_{a}^{b} ({(f (x) - c)}^{2} - {(g (x) - c)}^{2}) dx .$

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