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Jeopardy

Derive that log!. Related Rates. Newton Rocks. All Jumbled Up. Implicitly Speaking. 100. 100. 100. 100. 100. 200. 200. 200. 200. 200. 300. 300. 300. 300. 300. 400. 400. 400. 400. 400. 500. 500. 500. 500. 500. Jeopardy. Derive that log! -100. Find y’ for

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Jeopardy

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  1. Derive that log! Related Rates Newton Rocks All Jumbled Up Implicitly Speaking 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500 Jeopardy

  2. Derive that log!-100 Find y’ for y = ln x2 Answer: y’ = 2/ x NEXT QUESTION

  3. Derive that log! -200 Find y’ for y = 5 3x - 2 Answer: y’ = 3ln (5) 5x-2 NEXT QUESTION

  4. Trivia-300 What current branch of the U.S. military was a corps of only 50 soldiers when World War I broke out? Answer: U.S. Airforce NEXT QUESTION

  5. Derive that log!- 400 Find y’ for y =log10 2x Answer: 1/(x ln 10) NEXT QUESTION

  6. Derive that log!- 500 Find y’ for y = log5 (x2 – 1)3 Answer: 6x/((ln5)(x2 – 1)) NEXT QUESTION

  7. Implicitly Speaking100 Find dy/dx for x2 + 3xy + y3 = 10 Answer: dy/dx = -(2x + 3y) 3(x + y2 ) NEXT QUESTION

  8. Implicitly Speaking200 Find dy/dx for: cos x2 = xey Answer: dy/dx = - ey - 2x sinx2 xey NEXT QUESTION

  9. Implicitly Speaking300 Find dy/dx for: x sin y = y cos x Answer: dy/dx = y sin x + sin y cos x – x cos y NEXT QUESTION

  10. Trivia-400 How many flowers are in the design stamped on each side of an Oreo cookie? Answer: Twelve, each has 4 petals NEXT QUESTION

  11. Implicitly Speaking500 Find the equation of the tangent line for the function x2 + y2 = 20 at (2, 4) Answer: y = -1/2 x + 5 NEXT QUESTION

  12. Trivia -100 What is the top selling spice in the world? Answer: Pepper NEXT QUESTION

  13. Related Rates-200 The edges of a cube are expanding at a rate of 5 centimeters per second. How fast is the surface area changing when each edge is 4.5 cm? Surface Area, A = 6x2 Answer: 270 cm2 / sec NEXT QUESTION

  14. Related Rates -300 A 5 meter long ladder is learning against the side of a house. The foot of the ladder is pulled away from the house at a rate of 0.4 m/sec. Determine how fast the top of the ladder is descending when the foot of the ladder is 3 meter from the house. Answer: -0.3 m/sec NEXT QUESTION

  15. Related Rates -400 Two boats leave the same port at the same time with boat A traveling north at 15 knots per hour and boat B traveling west at 12 knots per hour. How fast is the distance between the two boats changing when boat A is 30 knots away and boat B is 24 knots away? Answer: 19.2 knots/hr NEXT QUESTION

  16. Related Rates -500 A cylinder with a radius of 4 cm and a height of 12 is being filled with water. The water’s height is increasing at a rate of 2 cm/min. Find the rate of change of the volume of the cylinder with respect to time when the height is 10 cm. Answer: 209.43 cm3 / sec NEXT QUESTION

  17. Newton Rocks-100 Approximate the real zeros of the function using Newton’s method: f(x) = x3 + 2x + 1 Answer: Approx. -0.453 NEXT QUESTION

  18. Trivia -200 What is Europe’s most mountainous country? Answer: Switzerland NEXT QUESTION

  19. Newton Rocks -300 Approximate the real zeros of the function using Newton’s method: f(x) = x2 – 3x - 1 Answer: Approx. -.3028 Approx. 3.3028 NEXT QUESTION

  20. Newton Rocks -400 Approximate the real zeros of the function using Newton’s method: f(x) = x3 – 3x2 + 3x when x1 = 1 Answer: x = Cannot be determined using Newton’s method NEXT QUESTION

  21. Newton Rocks -500 Use Newton’s Method to approximate the x values of any points of intersection of the graphs f(x) = x4 and g(x) = x + 3 Answer: Approx. – 1.164 NEXT QUESTION

  22. All Jumbled Up -100 Answer: 1/(2x) Find the derivative of F(x) = ln (x)1/2 NEXT QUESTION

  23. Trivia -200 What color are a zerbra’s black stripes during the first 6 months of it’s life? Answer: brown NEXT QUESTION

  24. All Jumbled Up -300 An airplane flies at an altitude of 5 miles toward a point over an observer that is standing .5 miles to the west. The speed of the plane is 400 miles per hour. Find the rate at which the angle of elevation is changing. Answer: 79.36 rad/hour NEXT QUESTION

  25. All Jumbled Up -400 Find the slope of the tangent line for the equation: y lnx + y2 = 0 at the point ( e, -1) Answer: m = -1/e NEXT QUESTION

  26. All Jumbled Up -500 A woman 5.5 feet tall walks at a rate of 4 feet per second away from a light that is 10 feet above the ground. At what rate is the length of her shadow changing? Answer: 4.89 ft/sec NEXT QUESTION

  27. Daily Double

  28. Daily Double

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