Calculus Jeopardy - Chapter 6 Question Board

1. This is… Opening Screen Calculus Jeopardy Chapter 6

2. Question Board Math Jeopardy Initial Value Problems U- Substitution Integration By Parts Exponential Growth/Decay Integration Mixed Up Loose Ends $100 $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 $500

3. $100 Back to Gameboard IVP– 10 Point Question Given And f(1)=3, Find y=f(x). Answer

4. Category 1 – 10 Point Answer $100 Back to Gameboard Back to Problem Given And f(1)=3, Find y=f(x).

5. $200 Back to Gameboard IVP – 20 Point Question Find the solution y=f(x) If And y()=0 Answer

6. Category 1 – 20 Point Answer $200 Back to Gameboard Back to Problem Find the solution y=f(x) If And y()=0

7. $300 Back to Gameboard IVP – 30 Point Question Find the function for which and f(2)=4 Answer

8. Category 1 – 30 Point Answer $300 Back to Gameboard Back to Problem Find the functionfor which and f(2)=4

9. $400 Back to Gameboard IVP – 40 Point Question Solve for the particular Solution if and . Answer

10. Category 1 – 40 Point Answer $400 Back to Gameboard Back to Problem Solve for the particular solution if and

11. $500 Back to Gameboard IVP – 50 Point Question Find the original function If and Answer

12. Category 1 – 50 Point Answer $500 Back to Gameboard Back to Problem Find the original function If and

13. $100 Back to Gameboard U-Sub – 10 Point Question Answer

14. Category 2 – 10 Point Answer $100 Back to Gameboard Back to Problem

15. $200 Back to Gameboard U-Sub – 20 Point Question Answer

16. Category 2 – 20 Point Answer $200 Back to Gameboard Back to Problem

17. $300 Back to Gameboard U-Sub – 30Point Question Answer

18. Category 2 – 30 Point Answer $300 Back to Gameboard Back to Problem

19. $400 DAILY DOUBLE Back to Gameboard U-Sub – 40 Point Question Answer

20. Category 2 – 40 Point Answer $400 Back to Gameboard Back to Problem

21. $500 Back to Gameboard U-Sub – 50 Point Question Find the general solution to Answer

22. Category 2 – 50 Point Answer $500 Back to Gameboard Back to Problem Where A is a constant Find the general solution to

23. $100 Back to Gameboard IBP – 10 Point Question Answer

24. Category 3 – 10 Point Answer $100 Back to Gameboard Back to Problem

25. $200 Back to Gameboard IBP – 20 Point Question Answer

26. Category 3 – 20 Point Answer $200 Back to Gameboard Back to Problem

27. $300 Back to Gameboard IBP – 30 Point Question Answer

28. Category 3 – 30 Point Answer $300 Back to Gameboard Back to Problem

29. $400 Back to Gameboard IBP – 40 Point Question Answer

30. Category 3 – 40 Point Answer $400 Back to Gameboard Back to Problem

31. $500 Back to Gameboard IBP – 50 Point Question Hint:Think of the category and let Answer

32. Category 3 – 50 Point Answer $500 Back to Gameboard Back to Problem

33. $100 Back to Gameboard Exp Growth – 10 Point Question The decay equation for an isotope is known to be With t in years. About how long will It take for a given amount of This isotope to decay to half its Original amount? Answer

34. Category 4 – 10 Point Answer $100 Back to Gameboard Back to Problem 2.511 years The decay equation for an isotope is known to be with t in years. About how long will it take for a given amount of this isotope to decay to half its original amount?

35. $200 Back to Gameboard Exp Growth – 20 Point Question Find the exponential function that goes through (0, ½) and (5,5) Answer

36. Category 4 – 20 Point Answer $200 Back to Gameboard Back to Problem Find the exponential function that goes through (0, ½) and (5,5)

37. $300 Back to Gameboard Exp Growth – 30 Point Question Suppose that 10 grams of the Plutonium isotope Pu-239 Was released in the Chernobyl Nuclear accident. How long will It take for the 10 grams to decay To 1 gram? Half-life is 24360 yrs. Answer

38. Category 4 – 30 Point Answer $300 Back to Gameboard Back to Problem Suppose that 10 grams of the Plutonium isotope Pu-239 was released in the Chernobyl Nuclear accident. How long will it take for the 10 grams to decay to 1 gram, if the half-life of Plutonium is 24360 years?

39. $400 Back to Gameboard Exp Growth– 40 Point Question Four months after it stops advertising, A company notices that its sales Have dropped from 100,000 units To 80,000 units per month. If the sales Follow an exponential pattern of decline, What will they be in 2 more months? Answer

40. Category 4 – 40 Point Answer $400 Back to Gameboard Back to Problem 71,554 units Four months after it stops advertising, a company notices that its sales have dropped from 100,000 units to 80,000 units per month. If the sales follow an exponential pattern of decline, what will they be in 2 more months?

41. $500 Back to Gameboard Exp Growth – 50 Point Question The change in money in an account over time is proportional to 200-M. Write a differential equation showing this, and solve for M If there is $100 initially (at t=0, M=100) Answer

42. Category 4 – 50 Point Answer $500 Back to Gameboard Back to Problem The change in money in an account is proportional to 200-M. Write a differential equation showing this, and solve for M if there is $100 initially (at t=0, M=100)

43. $100 Back to Gameboard Mixed Up – 10 Point Question Answer

44. Category 5 – 10 Point Answer $100 Back to Gameboard Back to Problem

45. $200 DAILY DOUBLE Back to Gameboard Mixed Up – 20 Point Question Answer

46. Category 5 – 20 Point Answer $200 Back to Gameboard Back to Problem

47. $300 Back to Gameboard Mixed Up – 30 Point Question Answer

48. Category 5 – 30 Point Answer $300 Back to Gameboard Back to Problem

49. $400 Back to Gameboard Mixed up – 40 Point Question Answer

50. Category 5 – 40 Point Answer $400 Back to Gameboard Back to Problem