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DEPARTMENTAL FINAL EXAMINATION
Fall 2008
MATH M 119
BRIEF SURVEY OF CALCULUS
Directions
•
DO NOT OPEN
this test booklet until you are told to do so.
•
There are 8 pages in this exam with 17 problems  You MUST
get a new exam from the proctor if your exam is incomplete.
•
PRINT your name, student ID#, and mark your section below.
•
You will have two hours to complete this examination.
No scrap paper, notes, books, nor graphing calculators allowed
.
Cell phones should be OFF. Headsets are not permitted.
Please write legibly.
To receive any credit you must
show supporting work!
Circle All Your Final Answers
Do Not Write in this area.
1
3p
2
4p
3
6p
4
3p
5
4p
6
4p
7
16p
8
6p
9
4p
10
6p
11
16p
12
6p
13
4p
14
4p
15
2p
16
4p
17
8p
Total
100p
NAME
(Print Clearly)
STUDENT
ID#
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1. Sketch the graphs of the first derivative of the function given below.
Be sure that your sketches are consistent
with the important features of the original functions.
[3p]
2. A company’s pricing schedule is given as:
(Show all steps for credit)
q
(number of units)
1
3
5
7
p
(price per unit)
12
10
8
6
Find a linear equation which expresses
p
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 Fall '09
 MaanOmran
 Calculus, Derivative, 2 %, 4%, 8 years, $5000, 8 days

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