Calculus 2

Dr Phil Clark, Jun 9, 2014


  • 1. Volumes of Revolution with Disks/Washers
  • 2. Rotating a curve about a line
  • 3. Taylor Polynomial of f(x) centered at point a
  • 4. Convergent or Divergent Series
  • 5. Improper Integrals
  • 6. Slope Field and the Initial Value Problem
  • 7. Slope Field
  • 8. Numerical integration
  • 9. Integracio: sumes inferior i superior
  • 10. Section 10.5-Graphing Hyperbola
  • 11. Polar graphing: roses.
  • 12. vectors and unit vectors
  • 13. Vector Decomposition
  • 14. THE AMAZING VECTOR MANIPULATOR

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Volumes of Revolution with Disks/Washers

This worksheet is intended to demonstrate the concepts behind the disk/washer method for calculating Volumes of Revolution. Note that all the purple dots in the Graphics1 window are sliders. They don't snap to "clean" values as well as one may like, but precise computation is not the primary goal of the simulation. The axis of revolution can be dragged either above or below the curves as long as f(x) forms the outer surface and g(x) forms the inner surface. You may enter functions into the input fields or just drag the existing graphs in the Graphics1 window. If you'd like to hide the highlighted disk/washer, just drag the highlight slider all the way to the left. Acknowledged, the appearance is a bit cluttered, but hopefully the controls are found to be pretty intuitive. Use of this simulation for scenarios in which human life is at stake is strictly prohibited.
– talljerome, Néstor Valles-Villarreal

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