CALCULUS I,
TEST IV
1
MA 125, CALCULUS I
December 03, 2007
Name (Print last name ﬁrst):
...................................................
Student Signature:
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TEST IV
No calculators are permitted!
PART I  Basic Skills
Part I consists of 6 questions. Clearly write your answer in the space provided
after each question.
Each question is worth 6 points.
Question 1
Find the absolute minimum value of the function
f
(
x
) =
x
3

3
x
+ 1 on the closed interval
[0
,
2]. (Be sure to give the
y
coordinate!)
Answer: .
....................
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TEST IV
2
Question 2
The function
f
(
x
) =
x

1
2
x
2
satisﬁes the hypotheses of the Mean Value Theorem on the
interval [0
,
2]. Find the number
c
that satisﬁes the conclusion of the Mean Value Theorem.
Answer:
.....................
Question 3
Find the critical number(s) of the function
f
(
x
) =
1
3
x
3
+
1
5
x
5
.
Answer:
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 Fall '07
 Department
 Calculus, Derivative, Order theory, open interval, Convex function

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