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

14th

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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