7. 3. x = V1 +y

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Find the volume of the solid that results  when  the shaded region  is revolved  about the indicated  axis for question 7. Draw graph using the circle  or washer slicing method.

3.
2.
356 Chapter 6 / Applications of the Definite Integral in Ge
5.
6.
23.
24.
1.
y = ycos x
(1,1)
25.
%3D
26.
4.
27-3
false.
7.
8.
Ay
solid
dicula
3.
(2,3),
to the
y = x² – 1/
sh
2
SC
29. If
(c:
30. TH
9. Find the volume of the solid whose base is the region
bounded between the curve y = x and the x-axis from
X3D0 to x = 2 and whose cross sections taken perpendic-
ular to the x-axis are squares.
.2
31. Fir
ab-
10. Find the volume of the solid whose base is the region
bounded between the curve y = sec x and the x-axis from
x = T/4 to x = 7/3 and whose cross sections taken per-
pendicular to the x-axis are squares.
%3D
%3D
is
32. Le
11-18 Find the volume of the solid that results when the region
enclosed by the given curves is revolved about the x-axis.
11. y = v25 – x?, y = 3
12. y = 9 – x², y = 0
%3D
13. x = Vỹ, x = y/4
%3D
33. Fim
%3D
14. y = sin x, y = cos x, x = 0, x = 7/4
[Hint: Use the identity cos 2x = cos²x– sin? x.]
15. y = e, y = 0, x = 0, x= lIn 3
16. y = e-, y = 0, x 0, x = 1
enc
%3D
abc
3COS X
34. Fin
%3D
enc
abo
17. y =
Transcribed Image Text:3. 2. 356 Chapter 6 / Applications of the Definite Integral in Ge 5. 6. 23. 24. 1. y = ycos x (1,1) 25. %3D 26. 4. 27-3 false. 7. 8. Ay solid dicula 3. (2,3), to the y = x² – 1/ sh 2 SC 29. If (c: 30. TH 9. Find the volume of the solid whose base is the region bounded between the curve y = x and the x-axis from X3D0 to x = 2 and whose cross sections taken perpendic- ular to the x-axis are squares. .2 31. Fir ab- 10. Find the volume of the solid whose base is the region bounded between the curve y = sec x and the x-axis from x = T/4 to x = 7/3 and whose cross sections taken per- pendicular to the x-axis are squares. %3D %3D is 32. Le 11-18 Find the volume of the solid that results when the region enclosed by the given curves is revolved about the x-axis. 11. y = v25 – x?, y = 3 12. y = 9 – x², y = 0 %3D 13. x = Vỹ, x = y/4 %3D 33. Fim %3D 14. y = sin x, y = cos x, x = 0, x = 7/4 [Hint: Use the identity cos 2x = cos²x– sin? x.] 15. y = e, y = 0, x = 0, x= lIn 3 16. y = e-, y = 0, x 0, x = 1 enc %3D abc 3COS X 34. Fin %3D enc abo 17. y =
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