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Math124W16, section F, Winter 2016
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hw18S3.10 (Homework)
YOONA JANG
Math124W16, section F, Winter 2016
Instructor: Andrew Loveless
Current Score : 37 / 37
Due : Monday, February 22 2016 11:59 PM PST
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Question
Points
1
2
3
4
5
6
7
8
9
10
11
9/9 1/1 3/3 1/1 1/1 4/4 4/4 3/3 3/3 6/6 2/2
Total
37/37 (100.0%)
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1. 9/9 points | Previous Answers SCalcET7 3.10.032. My Notes
Question Part
Points
Submissions
Used
1
2
3
4
5
6
7
8
9
1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1
1/5 1/5 1/5 1/1 1/1 1/1 1/1 1/1 1/1
Total
9/9
Let
f
(
x
) = (
x
− 1)
2
,
g
(
x
) =
e
−2
x
, and
h
(
x
) = 1 + ln(1 − 2
(a) Find the linearizations of
f
,
g
, and
h
a
= 0.
x
).
at

(b) Graph
f
,
g
, and
h
and their linear approximations. For which function is the linear approximation best?
For which is it worst? Explain.

The linear approximation appears to be the best for the function f
since it is closer to f
for a larger domain than it is to g and h
. The approximation looks worst for h
since h
moves away from
L
faster than f and g
do.
0
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2. 1/1 points | Previous Answers SCalcET7 3.10.028. My Notes
Question Part
Points
Submissions
Used
1
1/1
1/5
Use a linear approximation (or differentials) to estimate the given number.