Math 140 Quiz 4
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School
University of Maryland Global Campus (UMGC) *
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Course
140
Subject
Mathematics
Date
Jan 9, 2024
Type
docx
Pages
5
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Math 140 Quiz 4 Winter 2018
Teacher: Brian Grimm
Name________________________________
Instructions
:
The quiz is worth 100 points. There are 10 problems, each worth 10 points. Your score on the quiz will be converted to a percentage and posted in your assignment folder with comments.
This quiz is open book
and open notes
, and you may take as long as you like on it provided that you submit the quiz no later than the due date posted in our course schedule
of the syllabus. You may refer to your textbook, notes, and online classroom materials, but you may not consult anyone
.
You must show all of your work to receive full credit. If a problem does not seem to require work, write a sentence or two to justify your answer.
Please type your work in your copy of the quiz, or if you prefer, create a document containing your work. Scanned work is also acceptable. Be sure to include your name in
the document. Review instructions for submitting your quiz in the Quizzes Module.
If you have any questions, please contact me by e-mail (
brian.grimm@faculty.umuc.edu
).
Please remember to show ALL of your work on every problem. If you have questions about showing work, please ask.
At the end of your quiz you must include the following dated statement with your name typed in lieu of
a signature. Without this signed statement you will receive a zero. I have completed this quiz myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this quiz.
Name: Date:
Math 140
Quiz 4
Page 2
1) Find all of the critical points and local maximums and minimums of f
(
x
)
=
x
3
−
6
x
2
+5.
2) Find all critical points and local extremes of f
(
x
)
=
ln
(
x
2
−
6
x
+
11
)
.
3) Find the coordinates of the point in the first quadrant on the ellipse 9
x
2
+
16
y
2
=
144
so that the
rectangle in the figure has the largest possible area.
Math 140
Quiz 4
Page 3
4) Verify the hypotheses of Rolle’s Theorem is satisfied for f
(
x
)
=
x
3
−
x
+
3
on the interval of [-
1,1] and find the value of “c” that Rolle’s Theorem promises.
5) Determine a formula for g
(
x
)
if you know: g
' '
(
x
)
=
12
x, g
'
(
1
)
=
9
∧
g
(
2
)
=
30.
6) Sketch the graph of the derivative of the function:
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