SOLUTION KEY
Midterm 2, Winter 2008, Math 20A
Print name____________________________
CIRCLE THE SECTION IN WHICH YOU ARE ATTENDING:
A01
A02
A03
A04
A05
A06
A07
A08
1 pm 2 pm 3 pm
4 pm
5 pm
6 pm 7 pm
8 pm
Ben
Mike
John
Anna
Be sure to show your work. No credit will be given for unsupported answers.
If a problem statement asks you to provide a solution using a certain method, then you will not
receive credit for doing a problem by a different method.
This is a closed notes, closed books exam. The use of calculators is not permitted.
1. (8 pts) Use the Linear Approximation to estimate
.
)
ln(
)
1
.
0
ln(
3
3
e
e
−
−
3
3
3
10
1
)
1
.
0
(
1
)
(
1
.
0
1
)
(
ln
)
(
e
e
x
a
f
f
e
a
x
x
x
f
x
x
f
−
=
−
=
∆
′
=
∆
=
−
=
∆
=
′
=
This is just like problem 4.1.7 on homework assignment 6.
1

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