Larson_Calculus_10e ch03sec08
MULTIPLE CHOICE
1. Complete two iterations of Newton‘s Method for the function using the initial guess
. Round your answers to four decimal places.
a.
b.
c.
d.
e.
2. Complete two iterations of Newton’s Method for the function using the initial guess
. Round all numerical values in your answer to four decimal places.
a.
b.
c.
d.
e.
3. Use Newton´s Method to approximate the zero(s) of the function accurate to three
decimal places.
a.
b.
c.
d.
e.
4. Use Newton’s Method to approximate the zero(s) of the function accurate to three
decimal places.
a.
b.
c.
d.
e.
5. Use Newton’s Method to approximate the zero(s) of the function accurate to
three decimal places.
a.
b.
c.
d.
e.
6. Approximate the positive zero(s) of the function to three decimal places. Use
Newton’s Method and continue the process until two successive approximations differ by less than
0.001.
a.
b.
c.
d.
e.
7. Use Newton´s Method to approximate the x-value of the indicated point of intersection of the two
graphs accurate to three decimal places.Continue the process until two successive approximations
differ by less than 0.001. [Hint: Let .]
a.
b.
c.
d.
e.
8. Apply Newton’s Method to approximate the x-value of the indicated point of intersection of
Continue the process until two successive approximations differ by less than
0.001. [Hint: Let .] Round your answer to three decimal places.
a.
b.
c.
d.
e.
9. Approximate the fixed point of the function between to two decimal places.
[A of a function f is a value of x such that .]
a.
b.
c.
d.
e.
10. Find the point on the graph of that is closest to the point . Round all numerical
values of the solution to three decimal places.
a.
b.
c.
d.
e.
11. Find the point on the graph of that is closest to the point . Use Newton’s Method to
approximate all numerical values of the solution to three decimal places.
a.
b.
c.
d.
e.
12. The concentration C of a chemical in the blood-stream t hours after injection into muscle tissue is
given by When is the concentration greatest? Round your answer to three decimal
places.
a.
b.
c.
d.
e.
13. Suppose that the total number of arrests T (in thousands) for all males ages 14 to 27 in 2006 is
approximated by the model where x is the age in
years (see figure). Approximate the two ages to one decimal place that had total arrests of
thousand.
a.
b.
c.
d.
e.
14. The total number of arrests T (in thousands) for all males ages 15 to 24 in 2010 is approximated by the
model T = 0.2988 – 22.625 + 628.49 – 7565.9x + 33478 for where x is the age in
years (see figure). Approximate the two ages that had total arrests of 340 thousand. Round all
numerical values of the solution to two decimal places.
a.
17.99, 20.97
b.
17.75, 21.26
c.
17.99, 21.26
d.
17.75, 20.97
e.
20.78, 23.21
15. You are in a boat 2 miles from the nearest point on the coast (see figure). You are to go to a point Q
that is 3 miles down the coast and 1 mile inland. You can row at 3 miles per hour and walk at 5 miles
per hour. Toward what point on the coast should you row in order to reach Q in the least time?
a.
x = 1.73
b.
x = 1.43
c.
x = 1.03
d.
x = 0.93
e.
x = 1.23