10/7/2021

## 11.2 Solids Of Revolution Discap Calculus

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9/25 F 12 Volume of Solids of Revolution 9/28 M 13 Volume of Solids of Revolution 9/30 W 14 Volume of Solids of Revolution 10/2 F 15 Improper Integrals 10/5 M 16 Geometric Series and Convergence.10/7 W. EXAM 2 – Time: 8:00PM – 60 minute exam – Location: TBA 10/7 W NO CLASSES. 11.2.3 Calculus of Polar Curves 11.3 Conic Sections Chapter 12 Vector Geometry 12.1 Vectors 12.2 Matrices and the Cross Product 12.3 Planes in 3-Space 12.4 A Survey of Quadric Surfaces 12.4.1 Ellipsoids 12.4.2 Hyperboloids 12.4.3 Paraboloids 12.4.4 Quadratic Cylinders 12.5 Cylindrical and Spherical Coordinates 12.5.1 Cylindrical Coordinates.

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### 11.2 Solids Of Revolution Discap Calculus 14th Edition

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### Section 6-3 : Volume With Rings For problems 1 - 16 use the method disks/rings to determine the volume of the solid obtained by rotating the region bounded by the given curves about the given axis.

### 11.2 Solids Of Revolution Discap Calculus Calculator

1. Rotate the region bounded by (y = 2{x^2}), (y = 8) and the (y)-axis about the (y)-axis.
2. Rotate the region bounded by (y = 2{x^2}), (y = 8) and the (y)-axis about the (x)-axis.
3. Rotate the region bounded by (y = 2{x^2}), (x = 2) and the (x)-axis about the (x)-axis.
4. Rotate the region bounded by (y = 2{x^2}), (x = 2) and the (x)-axis about the (y)-axis.
5. Rotate the region bounded by (x = {y^3}), (x = 8) and the (x)-axis about the (x)-axis.
6. Rotate the region bounded by (x = {y^3}), (x = 8) and the (x)-axis about the (y)-axis.
7. Rotate the region bounded by (x = {y^3}), (y = 2) and the (y)-axis about the (x)-axis.
8. Rotate the region bounded by (x = {y^3}), (y = 2) and the (y)-axis about the (y)-axis.
9. Rotate the region bounded by (y = frac{1}{{{x^2}}}), (y = 9), (x = - 2), (displaystyle x = - frac{1}{3}) about the (y)-axis.
10. Rotate the region bounded by (y = frac{1}{{{x^2}}}), (y = 9), (x = - 2), (displaystyle x = - frac{1}{3}) about the (x)-axis.
11. Rotate the region bounded by (y = 4 + 3{{bf{e}}^{ - x}}), (y = 2), (displaystyle x = frac{1}{2}) and (x = 3) about the (x)-axis.
12. Rotate the region bounded by (x = 5 - {y^2}) and (x = 4) about the (y)-axis.
13. Rotate the region bounded by (y = 6 - 2x), (y = 3 + x) and (x = 3) about the (x)-axis.
14. Rotate the region bounded by (y = 6 - 2x), (y = 3 + x) and (y = 6) about the (y)-axis.
15. Rotate the region bounded by (y = {x^2} - 2x + 4) and (y = x + 14) about the (x)-axis.
16. Rotate the region bounded by (x = {left( {y - 3} right)^2}) and (x = 16) about the (y)-axis.
17. Use the method of disks/rings to determine the volume of the solid obtained by rotating the region bounded by (y = 2{x^2}), (y = 8) and the (y)-axis about the
1. line (x = 3)
2. line (x = - 2)
1. line (y = 11)
2. line (y = - 4)
18. Use the method of disks/rings to determine the volume of the solid obtained by rotating the region bounded by (x = {y^2} - 6y + 9) and (x = - {y^2} + 6y - 1) about the
1. line (x = 10)
2. line (x = -3)
19. Use the method of disks/rings to determine the volume of the solid obtained by rotating the triangle with vertices (left( {3,2} right)), (left( {7,2} right)) and (left( {7,14} right)) about the
1. line (x = 12)
2. line (x = 2)
3. line (x = -1)
1. line (y = 14)
2. line (y = 1)
3. line (y = -3)
20. Use the method of disks/rings to determine the volume of the solid obtained by rotating the region bounded by (y = 4 + 3{{bf{e}}^{ - x}}), (y = 2), (displaystyle x = frac{1}{2}) and (x = 3) about the
1. line (y = 7)
2. line (y = 1)
3. line (y = -3)
21. Use the method of disks/rings to determine the volume of the solid obtained by rotating the region bounded by (x = 3 + {y^2}) and (x = 2y + 11) about the
1. line (x = 23)
2. line (x = 2)
3. line (x = -1)
22. Use the method of disks/rings to determine the volume of the solid obtained by rotating the region bounded by (y = 5 + sqrt x ), (y = 5) and (x = 4) about the
1. line (y = 8)
2. line (y = 2)
3. line (y = -2)
23. Use the method of disks/rings to determine the volume of the solid obtained by rotating the region bounded by (y = 10 - 2x), (y = x + 1) and (y = 7) about the
1. line (x = 8)
2. line (x = 1)
3. line (x = -4)
24. Use the method of disks/rings to determine the volume of the solid obtained by rotating the region bounded by (y = - {x^2} - 2x - 5) and (y = 2x - 17) about the
1. line (y = 3)
2. line (y = -1)
3. line (y = -34)
25. Use the method of disks/rings to determine the volume of the solid obtained by rotating the region bounded by (x = - 2{y^2} - 3) and (x = - 5) about the
1. line (x = 4)
2. line (x = -2)
3. line (x = -9)
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