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Math 191, Final Exam
Thursday December 7, 2006. 9:00 – 11:30 AM
This exam should have 13 pages, with 10 problems adding up to 200 points.
The last three pages are blank and can be used as scrap paper for computations and checking answers.
No calculators, notes or books allowed.
To improve your chances of getting full credit (or maximum partial
credit) and to ease the work of the graders, please:
•
write clearly and legibly;
•
box in
your answers;
•
simplify your answers as much as possible;
•
explain your answers as completely as time and space allow.
Problem 1:
/20
Problem 2:
/20
Problem 3:
/20
Problem 4:
/10
Problem 5:
/10
Problem 6(a):
/15
Problem 6(b):
/15
Problem 7:
/10
Problem 8(a,b):
/15
Problem 8(c,d):
/15
Problem 9:
/20
Problem 10:
/10
Problem 11:
/20
TOTAL:
/200
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2
—
1. Let
f
(
x
) = cot

1
(
x
)
.
[20]
(a) Sketch
f
(
x
)
.
(b) Calculate the values of
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 Fall '07
 BERMAN
 Math, Derivative, Radioactive Decay, nose cone

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