# Applied calculus by Geoffrey C Berresford; Andrew Mansfield Rockett

By Geoffrey C Berresford; Andrew Mansfield Rockett

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Use your linear relationship to predict PCPI in 2020. 61. GENERAL: Temperature On the Fahrenheit temperature scale, water freezes at 32° and boils at 212°. On the Celsius (centigrade) scale, water freezes at 0° and boils at 100°. a. Use the two (Celsius, Fahrenheit) data points (0, 32) and (100, 212) to ﬁnd the linear relationship y ϭ mx ϩ b between x ϭ Celsius temperature and y ϭ Fahrenheit temperature. b. Find the Fahrenheit temperature that corresponds to 20° Celsius. 62. BUSINESS: MBA Salaries Salaries in the United States for new recipients of MBA (master of business administration) degrees have been rising approximately linearly, from \$75,200 in 2003 to \$92,300 in 2006.

X ϭ 4 22. x ϭ Ϫ3 23. 2x Ϫ 3y ϭ 12 24. 3x ϩ 2y ϭ 18 25. x ϩ y ϭ 0 26. x ϭ 2y ϩ 4 27. x Ϫ y ϭ 0 28. y ϭ 23(x Ϫ 3) xϩ2 29. y ϭ 3 x y 30. ϩ ϭ 1 2 3 31. 2x Ϫyϭ1 3 32. xϩ1 yϩ1 ϩ ϭ1 2 2 33. 25 and y-intercept 3 34. Slope 2 3 and y-intercept Ϫ 8 35. Slope 5 and passing through the point (Ϫ 1, Ϫ 2) 36. Slope Ϫ 1 and passing through the point (4, 3) 1 2 3 x Ϫ3 Ϫ2 Ϫ1 Ϫ1 Ϫ2 Ϫ2 Ϫ3 Ϫ3 47. 1 2 3 1 2 3 x 48. y y 3 3 2 2 1 1 Ϫ3 Ϫ2 Ϫ1 Ϫ1 1 2 3 x Ϫ3 Ϫ2 Ϫ1 Ϫ1 Ϫ2 Ϫ2 Ϫ3 Ϫ3 x 49–50. Write equations for the lines determining the four sides of each ﬁgure.

1 56. (1 ϩ 10Ϫ6)10 68. [z(z 3 иz)2z 2]2 69. [(x 2)2]2 Round answers to two decimal places. 47 4 x5 65. (x 3 иx 2)2 49–52. Use a calculator to evaluate each expression. 39 Ϫ1000 Simplify. ΂ 81΃ Ϫ5/3 57. 61. 25 16 ΃ 1 1000 numbers a and b. 40. (Ϫ27)Ϫ1/3 Ϫ2/3 41. (Ϫ 8) 16 9 2/5 ΂ Applied Exercises 79–80. ALLOMETRY : Dinosaurs The study of size and shape is called “allometry,” and many allometric relationships involve exponents that are fractions or decimals. 4 (hip-to-shoulder length)3/2 thickness where body thickness is measured vertically and all measurements are in feet.

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