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Calculating Volumes with Double Integrals: Problems and Solutions

Learn how to find the volume of regions bounded by equations using double integrals through practical problems and step-by-step solutions.

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Calculating Volumes with Double Integrals: Problems and Solutions

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  1. 14.2 Double Integrals and Volume

  2. Find the volume of the indicated volume.

  3. Solution

  4. Calculating volumes by repeated integration

  5. Problem 30 Find the volume of the solid

  6. 30 solution

  7. Problem 32 Use a calculator to find the volume of the solid.

  8. 32 Solution

  9. Problem 34 Set up a double integral to find the volume of the region bounded by graphs of the given equations. Use a calculator to evaluate this integral. y=0, z=0, y=x, z=x, x=0,and x=5

  10. 34 solution

  11. Problem 44 Set up a double integral to find the volume of the region bounded by graphs of the given equations. Use a calculator to evaluate this integral.

  12. 44 Solution

  13. Bonus Joke on the next slide

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