Download presentation

Presentation is loading. Please wait.

Published byTheodora Brown Modified over 4 years ago

1
Homework Homework Assignment #21 Review Sections 3.1 – 3.11 Page 207, Exercises: 1 – 121 (EOO), skip 73, 77 Chapter 3 Test next time Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

2
Homework, Page 207 1.Compute the average ROC of f (x) over [0, 2]. What is the graphical interpretation of this average ROC? Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

3
Homework, Page 207 Compute f ′ (a) using the limit definition and find an equation of the tangent line to the graph of f (x) at x = a. 5. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

4
Homework, Page 207 Compute dy/dx using the limit definition. 9. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

5
Homework, Page 207 Express the limit as a derivative. 13. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

6
Homework, Page 207 17. Find f (4) and f ′(4) if the tangent line to the graph of f (x) at x = 4 has an equation y = 3x – 14. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

7
Homework, Page 207 21. A girl’s height h(t) (in cm) is measured at time t (years) for 0 ≤ t ≤ 14: 52, 75.1, 87.5, 96.7, 104.5, 111.8, 118.7, 125.2, 131.5, 137.5, 143.3, 149.2, 155.3, 160.8, 164.7 (a) What is the girl’s average rate of growth over the 14-yr period? (b) Is the average growth rate larger over the first half or second half of this period?

8
Homework, Page 207 21. Estimate h′(t) (in cm/yr ) for t = 3, 8. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

9
Homework, Page 207 25. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

10
Homework, Page 207 Compute the derivative. 29. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

11
Homework, Page 207 Compute the derivative. 33. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

12
Homework, Page 207 Compute the derivative. 33. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

13
Homework, Page 207 Compute the derivative. 37. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

14
Homework, Page 207 Compute the derivative. 41. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

15
Homework, Page 207 Compute the derivative. 45. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

16
Homework, Page 207 Compute the derivative. 49. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

17
Homework, Page 207 Compute the derivative. 53. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

18
Homework, Page 207 Find the derivative. 57. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

19
Homework, Page 207 Find the derivative. 61. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

20
Homework, Page 207 Find the derivative. 65. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

21
Homework, Page 207 Find the derivative. 69. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

22
Homework, Page 207 Use the table of values to calculate the derivative of the given function at x = 2. 81. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company xf (x)g (x)f ′ (x)g ′ (x) 254–39 432–23

23
Homework, Page 207 Let f (x) = x 3 – 2x 2 + x + 1. 85. Find the points on the graph where the tangent line has a slope of 10 Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

24
Homework, Page 207 Let f (x) = x 3 – 2x 2 + x + 1. 89. (a) Show that there is a unique value of a such that f (x) has the same slope at both a and a + 1. (b) Plot f (x) together with the tangent lines at x = a and x = a + 1 and confirm the answer in part (a). Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

25
Homework, Page 207 Calculate y″. 93. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

26
Homework, Page 207 97.In Figure 5, label f, f ′, and f ″. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

27
Homework, Page 207 Compute dy/dx. 101. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

28
Homework, Page 207 Compute dy/dx. 105. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

29
Homework, Page 207 109. Find the points on the graph of x 3 – y 3 = 3xy – 3 where the tangent line is horizontal. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

30
Homework, Page 207 113. Water pours into the tank in Figure 7 at a rate of 20 m 3 /min. How fast is the water level rising when the eater level is h = 4m? Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

31
Homework, Page 207 117. (a) Side x of the triangle in Figure 9 is increasing at 2 cm/s and side y is increasing at 3 cm/s. Assume that θ decreases in such a way that the area of the triangle has a constant value of 4 cm 2. How fast is θ decreasing when x = 4, y = 4? Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

32
Homework, Page 207 117. (a) Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

33
Homework, Page 207 117. (b) How fast is the distance between P and Q changing when x = 2, y = 3? Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

34
Homework, Page 197 Use logarithmic differentiation to find the derivative. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

Similar presentations

© 2020 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google