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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.

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MAC 1105

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  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.

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