Chapter 5

Section 5.2, Extension of Exercise 79 (page 462) Answers

(a) They are not equal but are very close. It is difficult to find a viewing window in
which appears to be different.
(b) Let h = 0.001. The graph of in appears to be a
sinusoid. It is a sinusoid because is the sum of three sinusoids all with period

Art instructions: The scale marks are on the horizontal axis and are 0.01 on the
vertical axis.

(c) The graph of in the window shows that the error in the approximation is less than 0.001 because

Section 5.3, Extension of Exercise 69 (page 470)
Answers

Section 5.4
Extension of Exercise 63 (page 470)
Answers

Let x = 1 stand for January, s = 2 for February, and so forth. The modified table is

Month High Temp Low Temp

1 78 64.5

2 78.5 62.5

3 78.5 62.5

4 81.5 65

5 85 68

6 87 69.5

7 89.5 76

8 92.5 77

9 92.5 78

10 88 76.5

11 85 67.5

12 81.5 67.5

(a) The regression equation is approximately The fit is good. Art instructions: The scale marks are 1 on the horizontal axis and 10 on the vertical axis.

(b) The regression equation is approximately The fit is good. Art instruction: The scale marks are 1 on the horizontal axis and 10 on the vertical axis.

(c) Temperatures should be reasonably periodic.