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Jeopardy Directions for the game: 1. You will need a pencil and paper to keep score.

Jeopardy Directions for the game: 1. You will need a pencil and paper to keep score. 2. On the next screen, click ONCE on a question. 3. Read the Question and decide on your answer. 4. Click ONCE on the screen If you’re right, add your

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Jeopardy Directions for the game: 1. You will need a pencil and paper to keep score.

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  1. Jeopardy Directions for the game: 1. You will need a pencil and paper to keep score. 2. On the next screen, click ONCE on a question. 3. Read the Question and decide on your answer. 4. Click ONCE on the screen If you’re right, add your points to your total. If you are wrong, subtract those points. 5. Click ONCE on the button to go back to try another question. 6. Ready? Click ONCE to go the the Jeopardy board! 7. Press the “Esc” button on the keyboard to end the game. Have fun! Home

  2. Derivatives Applications Other stuff Limits Integrals Misc. Final Jeopardy $100 $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $200 Scores $300 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 $500

  3. $100 Calculate the derivative of ex

  4. $100 ex Home

  5. $200 Calculate the derivative of f(x) = x sin (x)

  6. $200 f’(x) = x cos (x) + sin (x) Home

  7. $300 Calculate the derivative of Y = X2(X- 2)5

  8. $300 y’ = 5x2(x-2)4 + (x-2)5(2x) y’ = x(x-2)4(7x-4) Home

  9. $400 Use Implicit Differentiation to calculate y’ X2 + XY + Y3 = 3

  10. $400 2x + xy’ + y + 3y2 y’ = 0 y’ = -2x – y X + 3y2 Home

  11. $500 Find the derivative of the following function F(x) = x3 – 3x2 + 4 x2

  12. $500 y’ = x3-8 x3 Home

  13. $100 Evaluate Lim 6X - 3 X → 4

  14. $100 21 Home

  15. $200 Evaluate Lim sin x x X → 0

  16. $200 1 Home

  17. $300 Evaluate Lim l x – 4 l x - 4 X → 4

  18. $300 No limit Home

  19. $400 Evaluate Lim X2 – 9 X + 3 X → - 3

  20. $400 -6 Home

  21. Daily Double

  22. $500 Evaluate Lim (X + ΔX)2 + 1 – (X2 + 1) ΔX ΔX → 0

  23. $500 2X (X+ΔX)^2 + 1 – X^1 -1 Δ X cancel 1’s X^2 + 2XΔX + ΔX^2 – X^2 Δ X square and simplify 2X + Δ X Δ X = 0 Answer = 2X. Home

  24. $100 Evaluate ∫ 2x dx

  25. $100 x2 + c Home

  26. $200 Evaluate ∫ x3 + 2x x

  27. $200 1/3 x3 +2x + c (cancel one x and then integrate) Home

  28. $300 Evaluate ∫ (lnx)3dx x

  29. $300 Let U = Lnx, du = 1/x dx = ¼ (ln x)4 + c Home

  30. $400 Evaluate ∫ cos 2x dx

  31. $400 ½ sin(2x) + c Home

  32. $500 Evaluate ∫xe-x2 dx

  33. $500 Let u = -x2, du = -2x -½ ∫ eu du -½ e-x2+c Home

  34. $100 In an application problem relevant to motion, the first derivative of an equation tells ____________.

  35. $100 Velocity Home

  36. $200 In an application problem relevant to motion, the second derivative tells ______________.

  37. $200 Acceleration Home

  38. $300 A hot-air balloon is rising straight up from a level field and is being tracked by a range finder located 500ft from the balloon. At the moment the range finder’s angle of elevation is π/4, the angle is increasing at the rate of 0.14 rad/min. How fast is the balloon rising at that moment?

  39. $300 Draw a picture Θ = the angle the range finder makes with the ground Y = the height of the balloon (in feet) T = time, and θ and y are differentiable functions of t. Y = 500 tan θ Y’ = 500 (sec2θ)dθ/dt Y’ = 500(2)(.14) = 140ft/min Home

  40. $400 Air is being pumped into a spherical balloon to cause its volume to increase at a rate of 100cm3/s. How fast is the radius of the balloon increasing when the diameter is 50 cm?

  41. $400 1/(25π) cm/s Home

  42. $500 Car A is traveling west at 50 mi/h while car B is traveling north at 60 mi/h. Both cars are headed towards intersection C. At what rate are the cars approaching each other when car A is 0.3 mi from the intersection, and car B is 0.4 mi from the intersection?

  43. $500 - 78 mi/h Home

  44. $100 Find the derivative of y = ln(x3 + 1)

  45. $100 y’ = 3x2 X3+ 1 Home

  46. $200 Find the derivative of y = 6(x2)

  47. $200 y’ = (ln 6)(6^x^2)(2x) Home

  48. $300 Find the second derivative of y = x3 + 3x2 – ½ x + 5

  49. $300 y = x3 + 3x2 – ½ x + 5 y’ = 3x2 + 6x – ½ y” = 6x + 6 Home

  50. $400 Find y’ y = ln [x(1+x)2]

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