Problems 10.9, 11.1 Week in Review Math 152
1. a) Find the 4th degree Taylor polynomial about a=1 for
h(x) = ln(1+x). Estimate the error |
(x) - h(x)|on the interval [0.5, 1.5].
b) Find the 4th degree Taylor polynomial about a=0 for f(x)
= ln(1+x) and estimate the error 
on the interval 
c) Find the 8th degree Taylor polynomial about a=0 for 
and estimate the error on 
.
2. a). Find the 3rd degree Taylor polynomial about a=0 for 
and estimate the error
on the interval |x| < 0.2.
b) Find the 5th degree Taylor polynomial about a=0 for 
and estimate the error
on the interval |x| <0. 2.
c) Find the 6th degree Taylor polynomial for 
and estimate the error
on the interval 
.
3. Find the 5th degree Taylor polynomial about a=0 for
sin(x) and estimate the error for the interval 
.
4. Find the 3rd degree Taylor polynomial about a=0 for 
and estimate the error
for the interval 
.
5. Find the 4th degree Taylor polynomial about a=
for sin(x) and estimate the error for the interval [
,
].
6. Stewart 10.9.20 How many terms of the Maclaurin series for ln(1+x) do you need to use to estimate ln(1.4) to within 0.001?
11.1
7. Find the center and radius of the sphere 
8. Part of 11.1.50
Describe the intersection of 
and 
9. 11.1.10 Determine whether the points are collinear. K(0, 3, -4) , L(1, 2, -2), M(3, 0, 1)
10. 11.1.26 Consider the set of points P such that the distance from P to A(-1, 5, 3) is twice the distance from P to B(6, 2, -2) . Show that the set of all such points is a sphere and find the center and radius.