By Jon Rogawski

**here.**

*Calculus*returns in a meticulously up to date re-creation, in a model designed in particular for AP courses.

*Rogawski's Calculus for AP*, moment Edition*includes a new coauthor, Ray Cannon, previously AP Calculus leader Reader for the school Board. between different contributions, Dr. Cannon wrote this version's end-of-chapter a number of selection and loose reaction Questions, giving scholars the chance to paintings a similar form of difficulties they're going to see at the AP exam.

**TEACHERS: obtain now**

**Rogawski's Calculus for AP*, moment variation****Early Transcendentals, that includes bankruptcy three, Differentiation**

**Read Online or Download Calculus Early Transcendentals for AP PDF**

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**Extra resources for Calculus Early Transcendentals for AP**

**Sample text**

Y 70. Extend the graph of f (x) to [−4, 4] so that it is an odd function. y y = x2 4 3 3 2 −4 1 0 x y = f (x) FIGURE 29 x 1 2 3 FIGURE 27 4 71. Suppose that f (x) has domain [4, 8] and range [2, 6]. Find the domain and range of: (a) f (x) + 3 (b) f (x + 3) (c) f (3x) (d) 3f (x) 72. Let f (x) = x 2 . Sketch the graph over [−2, 2] of: (a) f (x + 1) (b) f (x) + 1 (c) f (5x) (d) 5f (x) 73. Suppose that the graph of f (x) = sin x is compressed horizontally by a factor of 2 and then shifted 5 units to the right.

1 s 1 t In Exercises 49–52, determine where f (x) is increasing. 49. f (x) = |x + 1| 50. f (x) = x 3 51. f (x) = x 4 1 52. f (x) = 4 x + x2 + 1 In Exercises 53–58, find the zeros of f (x) and sketch its graph by plotting points. Use symmetry and increase/decrease information where appropriate. 53. f (x) = x 2 − 4 54. f (x) = 2x 2 − 4 55. f (x) = x 3 − 4x 56. f (x) = x 3 57. f (x) = 2 − x 3 58. f (x) = 1 (x − 1)2 + 1 59. Which of the curves in Figure 26 is the graph of a function? y y x 34. Represent 1/7 and 4/27 as repeating decimals.

If the temperature is changed by an amount T , then the rod’s length changes by L = αL0 T , where α is the thermal expansion coefficient. 24 × 10−5 ◦ C−1 . (a) A steel rod has length L0 = 40 cm at T0 = 40◦ C. Find its length at T = 90◦ C. (b) Find its length at T = 50◦ C if its length at T0 = 100◦ C is 65 cm. (c) Express length L as a function of T if L0 = 65 cm at T0 = 100◦ C. 28. 2), (2, 2) lie on a line? 29. Find b such that (2, −1), (3, 2), and (b, 5) lie on a line. 30. Find an expression for the velocity v as a linear function of t that matches the following data.