1 / 71

$100

$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.

heman
Download Presentation

$100

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  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 $

More Related