Homework Problems

Section

Problems

7.1 (Inverse functions)

17, 18, 20, 25, 34, 39

7.2 (ln x and exp x)

10, 13, 17, 18, 21, 22, 25, 26, 35, 37, 38, 41, 43, 56, 64, 65, 68

7.3 (b^x and log_b x)

9, 13, 14, 16, 23, 32, 33, 34, 43, 46, 81, 82, 87

7.4 (Exponential models)

11, 22, 23, 27, 30, 31

7.5 (Inverse trigonometric functions)

11, 15, 16, 41, 47, 51, 54, 57, 61, 69, 70, 71, 72, 83, 84, 85, 86, 94

7.6 (L'Hopital's rule)

7, 11, 12, 13, 15, 30, 31, 32

8.1 (Integration by parts)

7, 15, 16, 18, 19, 25, 26, 27, 33, 50, 54

8.2 (Trigonometric integrals)

11, 17, 18, 33, 42, 43

8.3 (Trigonometric substitutions)

11, 14, 19, 27, 29, 30, 39, 41, 42, 48, 49

8.4 (Partial fractions)

5, 8, 9, 19, 20, 29, 33, 34, 35, 36, 49, 50, 57, 58, 67

8.7 (Improper integrals)

5, 7, 10, 13, 20, 27, 28, 33, 48

9.1 (An overview)

11, 13, 18, 19, 20, 25, 31, 36, 39, 42, 49, 53

9.2 (Sequences)

9, 12, 13, 15, 16, 19, 22, 43, 44, 73, 74   

9.3 (Infinite series)

19, 27, 28, 35, 36, 47, 48, 57, 58, 78, 81

9.4 (Divergence and integral test)

9, 15, 16, 25, 27, 28, 32, 33, 46, 47

9.5 (Ratio, root, & comparison tests)

9, 11, 12, 14, 15, 19, 22, 23, 27, 28, 29, 35, 36, 41, 43, 44, 45, 47, 48, 65

9.6 (Alternating series)

11, 16, 17, 21, 22, 39, 42, 43, 44, 46, 55

10.1 (Approximating functions)

13 a), 14 a), 15 a), 16 a), 29 a), 31 a), 33, 36, 37

10.2 (Properties of power series)

9, 11, 12, 17, 18, 23, 24, 33, 34, 40, 41, 49, 55, 56

10.3 (Taylor series)

9, 14, 15, 19, 20, 21, 22, 23, 25, 28, 53, 58