Math 20C
Prof. Tesler
Midterm #2 Answer Key
November 14, 2005
Name
Answer Key
Student ID No.
Circle the section in which you are enrolled on Tuesdays:
T.A. Vladimir Pesic
C01
3–3:50 p.m.
WLH 2208
C02
4–4:50 p.m.
WLH 2208
C07
5–5:50 p.m.
Sequoyah 147
T.A. Michael Ferry
C03
5–5:50 p.m.
WLH 2208
C04
6–6:50 p.m.
WLH 2208
C05
7–7:50 p.m.
WLH 2208
C06
8–8:50 p.m.
WLH 2208
Do not open this booklet until instructed to do so.
Work alone.
You must show your work.
Use the space provided. If necessary, write “see other
side” and continue working on the back of the same sheet. If the grader cannot read your
work or answer, you may not get credit.
Circle your ﬁnal answers
when relevant.
You are allowed to have one doublesided sheet of notes made according to the speciﬁca
tions explained in class. No other resources are permitted.
No calculators. You may leave answers in symbolic form, like
√
42, unless they simplify
further, like
√
9=3
,
e
0
= 1 or cos(3
π/
4) =

√
2
/
2.
Time for midterm: 50 minutes.
1
25
/
25
2
25
/
25
3
25
/
25
4
25
/
25
Total
100
/
100
Grading: Michael 1, 2; Vladimir 3, 4.
There are diﬀerent versions of the test. This answer key contains detailed answers for one
version of the test, and just ﬁnal answers for the other versions.
If you want to write down questions for your T.A. or you want to rework problems, please
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A curve is given parametrically by
(yellow)
~
r
(
t
)=6
t
ˆ
ı
+3
√
2
t
2
ˆ
+(2
t
3
+ 100)
ˆ
k
.
(green/pink)
~
r
(
t
)=6
t
ˆ
ı
+3
√
2
t
2
ˆ
+(2
t
3
+ 200)
ˆ
k
.
(blue)
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 Fall '08
 Helton
 Math, Derivative, Velocity, DT DT DT, Vladimir Pesic

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