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Final JEOPARDY ROUND 1: JEOPARDY Subby Hubby Part-y Highly Improper DanceDance Revolution Potpourri 100 200 300 400.

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Presentation on theme: "Final JEOPARDY ROUND 1: JEOPARDY Subby Hubby Part-y Highly Improper DanceDance Revolution Potpourri 100 200 300 400."— Presentation transcript:

1

2 Final JEOPARDY

3 ROUND 1: JEOPARDY Subby Hubby Part-y Highly Improper DanceDance Revolution Potpourri 100 200 300 400

4 ROUND 2: DOUBLE JEOPARDY Geometric Gems Serial Killers Super Powers Taylor MadePotpourri 200 400 600 800

5 ROUND 3: FINAL JEOPARDYFINAL JEOPARDY

6 Subby Hubby (100)

7 Subby Hubby (200)

8 Subby Hubby (300)

9 Subby Hubby (400)

10 Part-y (100)

11 Part-y (200)

12 Part-y (300)

13 Part-y (400)

14 DAILY DOUBLE

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

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

17 Highly Improper (300) Test for convergence or divergence

18 Highly Improper (400) Test for convergence or divergence

19 DAILY DOUBLE

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

21 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.

22 DanceDance Revolution (300) Express the volume formed by rotating the area between y = x 2 and y = x 3 around the y -axis as an integral.

23 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.

24 Potpourri (100)

25 Potpourri (200)

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

27 Potpourri (400) Evaluate

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

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

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

31 Geometric Gems (800) Find the sum of the series:

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

33 DAILY DOUBLE

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

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

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

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

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

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

40 DAILY DOUBLE

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

42 Taylor Made (200) Find the Maclaurin series for

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

44 Taylor Made (600) Find the Maclaurin series for

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

46 Potpourri (200)

47 Potpourri (400)

48 Potpourri (600) Dr Rachel will put three graphs on the board. Match them with their Maclaurin series: 1.2x - 3x 2 + … 2.1 + 3x + 4x 2 + … 3.2 + 6x - 5x 2 + … 4.-5x - 4x 2 + …

49 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/ft 2.)

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

51

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