1 / 58

MAC 1105

MAC 1105. Final Exam Extra Practice (with solutions). 1) p. 129: 67. 1) p. 129: 67. 2 ) p. 129: 88 Find the discriminant and the number and type of roots:. 2 ) p. 129: 88 Find the discriminant and the number and type of roots:. two imaginary roots.

sean-francis
Download Presentation

MAC 1105

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. MAC 1105 Final Exam Extra Practice (with solutions)

  2. 1) p. 129: 67

  3. 1) p. 129: 67

  4. 2) p. 129: 88Find the discriminant and the number and type of roots:

  5. 2) p. 129: 88Find the discriminant and the number and type of roots: two imaginary roots

  6. 3) Use the intersection – of – graphs method to approximate the solution to nearest hundredth:

  7. 3) Use the intersection – of – graphs method to approximate the solution to nearest hundredth:

  8. 4a) p. 163: 56Solve:

  9. 4a) p. 163: 56Solve:

  10. 4b) p. 162: 57 Solve:

  11. 4b) p. 162: 57 Solve:

  12. 5) p. 177: 16Find the distance between P and Q.

  13. 5) p. 177: 16Find the distance between P and Q.

  14. 6) p. 189: 54 Test the equation for symmetry:

  15. 6) p. 189: 54 Test the equation for symmetry: no

  16. 7) p. 189: 71Find the center and radius of the circle.

  17. 7) p. 189: 71Find the center and radius of the circle.

  18. 8) p. 189: 64Find the equation of the circle that satisfies the given conditions:

  19. 8) p. 189: 64Find the equation of the circle that satisfies the given conditions:

  20. 9) p. 203: 13 Find the slope of the line through the given pair of points.

  21. 9) p. 203: 13 Find the slope of the line through the given pair of points.

  22. 10) p. 206: 91A manufacturer produces 50 TVs at a cost of $17,500 and 75 TVs at a cost of $21,250. Write a linear equation that models the cost in terms of the number of TVs

  23. 10) p. 206: 91A manufacturer produces 50 TVs at a cost of $17,500 and 75 TVs at a cost of $21,250. Write a linear equation that models the cost in terms of the number of TVs CHECK:

  24. 11) p. 207: 109The paired data consists of the number of newspapers (in thousands) that sell at a given price (in nickels) per copy for a college newspaper. Find the equation of the least – squares regression line that models the data.

  25. 11) p. 207: 109The paired data consists of the number of newspapers (in thousands) that sell at a given price (in nickels) per copy for a college newspaper. Find the equation of the least – squares regression line that models the data.

  26. 12) p. 239: 97 is a function that describes the cost of producing toys, where x represents the number of toys. Find the value of x for which C has a maximum value.

  27. 12) p. 239: 97 is a function that describes the cost of producing toys, where x represents the number of toys. Find the value of x for which C has a maximum value. Windows: (from the given information) (since the y intercept is 20) Choose the x – coordinate since it asks for the temperature that produces the maximum.

  28. 13) By using a graphing calculator, find the increasing interval(s) for the function

  29. 13) By using a graphing calculator, find the increasing interval(s) for the function Choose windows large enough to allow you to see the turning points:

  30. 14) p. 237: 40Determine if the given function is even, odd, or neither.

  31. 14) p. 237: 40Determine if the given function is even, odd, or neither.

  32. 15) p. 239: 80Determine the difference quotient, , for the function

  33. 15) p. 239: 80Determine the difference quotient, , for the function

  34. 16) p. 249: 47Suppose a state’s income tax code states that the tax liability T on x dollars of taxable income as followsUse to find the tax liability on each taxable income:$12,000, $20,000, $50,000

  35. 16) p. 249: 47Suppose a state’s income tax code states that the tax liability T on x dollars of taxable income as followsUse to find the tax liability on each taxable income:$12,000, $20,000, $50,000

  36. 17) Find the vertex of the parabola .

  37. 17) Find the vertex of the parabola . OR graph the function and find the maximum.

  38. 18a) p. 372: 28Find the vertical asymptotes, if any, of

  39. 18a) p. 372: 28Find the vertical asymptotes, if any, of

  40. 18b) Find the horizontal asymptotes, if any, of

  41. 18b) Find the horizontal asymptotes, if any, of

  42. 19) p. 394: 48The safe load that a rectangular beam can support varies jointly as the width and square of the depth of the beam and inversely as its length. A beam 4 inches wide, 6 inches deep, and 25 feet long can support a safe load of 576 pounds. Find the safe load for a beam that is of the same material but is 6 inches wide, 10 inches deep, and 20 feet long.

  43. 19) p. 394: 48The safe load that a rectangular beam can support varies jointly as the width and square of the depth of the beam and inversely as its length. A beam 4 inches wide, 6 inches deep, and 25 feet long can support a safe load of 576 pounds. Find the safe load for a beam that is of the same material but is 6 inches wide, 10 inches deep, and 20 feet long.

  44. 20) p. 415: 81Solve the equation

  45. 20) p. 415: 81Solve the equation

  46. 21) p. 425: 21 Find the principal P that will generate $10,000 at 8% compounded continuously for 10 years.

  47. 21) p. 425: 21 Find the principal P that will generate $10,000 at 8% compounded continuously for 10 years.

  48. 22a) Write the expression in expanded form.

  49. 22a) Write the expression in expanded form.

  50. 22b) Write the expression in condensed form.

More Related