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$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. Tangents. Veolcity. Limits & Rationalizing. More Limits. Continuity. Tangents. Limits & Rationalizing. More Limits.

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$100

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  1. $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

  2. Tangents

  3. Veolcity

  4. Limits & Rationalizing

  5. More Limits

  6. Continuity

  7. Tangents Limits & Rationalizing More Limits Continuity Velocity $ $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

  8. CATEGORY 1 - $100 Calculate the slope of the tangent to each curve at the given point or value of x. f (x) = x2+ 3x - 5 , (-3, -5)

  9. CATEGORY 1 - $200 Calculate the slope of the tangent to each curve at the given point or value of x. y = 4 , (6, 1) x-2

  10. CATEGORY 1 - $300 Calculate the equation of the tangent to each curve at the given point or value of x.

  11. CATEGORY 1 - $400 Find the coordinates of the point on the curve f (x)= 3x2 - 4x where thetangent is parallel to the line y=8x

  12. CATEGORY 1 - $500 Show that, at the points of intersection of the quadratic functions y= x2and y= 0.5- x2 the tangents to the functions are perpendicular.

  13. CATEGORY 2 - $100 The function describes s(t) = 6t2 + 6t the distance (in kilometres) that a car has travelled after a time (in hours), for 0 <= t <=6. find the velocity when t=2.

  14. CATEGORY 2 - $200 Consider the function f(t) = 7t2 + 14t where t is measured in seconds and f(t) is measured in metres. Now, find the instantaneous velocity when t=1.

  15. CATEGORY 2 - $300

  16. CATEGORY 2 - $400

  17. CATEGORY 2 - $500 A manufacturer of basketballs finds that the profit from the sale of x basketballs per week is given by the function P (x) =180x-2x2, where P is measured in dollars. What is the rate of change of profit between the time of selling 20 basketballs and 60 basketballs?

  18. CATEGORY 3 - $100 Rationalize each denominator. a) b)

  19. CATEGORY 3 - $200

  20. CATEGORY 3 - $300 Evaluate the limit. If the limit does not exist, explain why.

  21. CATEGORY 3 - $400 Find the indicated limit, if it exists.

  22. CATEGORY 3 - $500

  23. CATEGORY 4 - $100 Evaluate the following limits

  24. CATEGORY 4 - $200 Evaluate the following limits

  25. CATEGORY 4 - $300 Evaluate the following limits

  26. CATEGORY 4 - $400 Evaluate the following limits

  27. CATEGORY 4 - $500

  28. CATEGORY 5 - $100 Determine all values of x for which each function is continuous.

  29. CATEGORY 5 - $200 Find the value(s) of x at which the following functions are discontinuous, and state the type of discontinuity.

  30. CATEGORY 5 - $300 Find the value(s) of x at which the following functions are discontinuous, and state the type of discontinuity.

  31. CATEGORY 5 - $400

  32. CATEGORY 5 - $500

  33. CATEGORY 1 - $100 Answer -3 $

  34. CATEGORY 1 - $200 Answer -9 $

  35. CATEGORY 1 - $300 Answer Y=1/6 x +1/6 $

  36. CATEGORY 1 - $400 Answer (2, 4) $

  37. CATEGORY 1 - $500 Answer $

  38. CATEGORY 2 - $100 Answer 30 km/h $

  39. CATEGORY 2 - $200 Answer 28 m/s $

  40. CATEGORY 2 - $300 Answer 22 m/s $

  41. CATEGORY 2 - $400 Answer 48 m/s $

  42. CATEGORY 2 - $500 Answer $20/basketball $

  43. CATEGORY 3 - $100 Answer $

  44. CATEGORY 3 - $200 Answer a. 2 b. 2 c. -1 d. DNE e. 1 $

  45. CATEGORY 3 - $300 Answer a. 90 b. DNE c. 1 $

  46. CATEGORY 3 - $400 Answer DNE $

  47. CATEGORY 3 - $500 Answer m=1, b=-1/3 $

  48. CATEGORY 4 - $100 Answer 2√5 5 $

  49. CATEGORY 4 - $200 Answer -1 6 $

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