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Final JEOPARDY

Test your math skills with series convergence, rotations, integrals, and volumes in this challenging game show format. Will you conquer the Final Jeopardy?

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Final JEOPARDY

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  1. FinalJEOPARDY

  2. ROUND 1: JEOPARDY

  3. ROUND 2: DOUBLE JEOPARDY

  4. ROUND 3: FINAL JEOPARDY

  5. Subby Hubby (100)

  6. Subby Hubby (200)

  7. Subby Hubby (300)

  8. Subby Hubby (400)

  9. Part-y (100)

  10. Part-y (200)

  11. Part-y (300)

  12. Part-y (400)

  13. DAILY DOUBLE

  14. Highly Improper (100) Express as a limit or sum of limits:

  15. Highly Improper (200) Express as a limit or sum of limits:

  16. Highly Improper (300) Test for convergence or divergence

  17. Highly Improper (400) Test for convergence or divergence

  18. DAILY DOUBLE

  19. DanceDance Revolution (100) Express the volume formed by rotating the area under y = x for 0 ≤ x ≤  around the x-axis as an integral.

  20. DanceDance Revolution (200) Write an integral equal to the volume of the solid formed by rotating the area under y = sin x for 0 ≤ x ≤  around the y-axis.

  21. DanceDance Revolution (300) Express the volume formed by rotating the area between y = x2 and y = x3around the y-axis as an integral.

  22. DanceDance Revolution (400) Write an integral whose value equals the volume of the solid formed by rotating the area under y = 1/x and to the right of x = 1 around the x-axis.

  23. Potpourri (100)

  24. Potpourri (200)

  25. Potpourri (300) Find the amount of work needed to pull a 5 lb bucket up a 50 ft well.

  26. Potpourri (400) Evaluate

  27. Geometric Gems (200) Find the sum of the series or show that it diverges:

  28. Geometric Gems (400) Find the sum of the series or show that it diverges:

  29. Geometric Gems (600) Find the sum of the series or show that it diverges:

  30. Geometric Gems (800) Find the sum of the series:

  31. Serial Killers (200) Determine whether the series converges absolutely, conditionally, or diverges.

  32. DAILY DOUBLE

  33. Serial Killers (400) Determine whether the series converges absolutely, conditionally, or diverges.

  34. Serial Killers (600) Determine whether the series converges absolutely, conditionally, or diverges.

  35. Serial Killers (800) Determine whether the series converges absolutely, conditionally, or diverges.

  36. Super Powers (200) Find the interval of convergence.

  37. Super Powers (400) Find the interval of convergence.

  38. Super Powers (600) Find the interval of convergence.

  39. DAILY DOUBLE

  40. Super Powers (800) Find the interval of convergence.

  41. Taylor Made (200) Find the Maclaurin series for

  42. Taylor Made (400) Find the Taylor series about x = 1:

  43. Taylor Made (600) Find the Maclaurin series for

  44. Taylor Made (800) Find the Taylor series at x = 1:

  45. Potpourri (200)

  46. Potpourri (400)

  47. Potpourri (600) Dr Rachel will put three graphs on the board. Match them with their Maclaurin series: • 2x - 3x2 + … • 1 + 3x + 4x2 + … • 2 + 6x - 5x2 + … • -5x - 4x2 + …

  48. Potpourri (800) How much work is done in filling a tank with circular base of radius 1 ft and height 6 ft with water? (Water weighs 62.5 lb/ft2.)

  49. Final Jeopardy For which values of x does the series converge?

  50. Bootsy says Good Luck!

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