Math 2343
Practice Exam 1
This practice exam is meant to give you examples of possible exam questions.
It is not
meant to be an allinclusive list of the types of problems that you will see on the exam. For
that, you should look at both quiz questions and homework questions. The majority of the
questions on the exam, however, will be similar to the problems on this practice exam. The
actual exam will be considerably shorter in length than this practice exam. Note that all
questions have been drawn from the learning outcomes posted on WebCT. For full credit on
the exam, show your work and justify your answer.
1. Describe the level curves of
f
(
x, y
) = 2(
x
2
+
y
2
).
2. A rectangular solid is changing in shape and size as follows. The width is increasing
at a rate of 3 cm/sec, the height is increasing at a rate of 6 cm/sec and the length is
decreasing at a rate of 4 cm/sec. At what rate (in cubic centimeters per second) is the
volume changing when the width is 25 cm, the height is 30 cm and the length is 10
cm?
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 Fall '11
 Staff
 Math, 3 cm, 6 cm, Gradient, 4 cm, 10 cm

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