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CLW
Math 142 I: David Mintz Mock Exam
1. Finﬁthe area ot‘the region bounded by the given curves. 10 pts
yzlsinx, yz—cosx, x20, x=zr gﬂ 2. Find the volume of the solid obtained ’ v rotating the region bounded by the given curves about the specified axis. 16 pts
about the xaxis
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I" J: 2. 2 3 3. A force of30 N is required to maintain a spring stretched from its natural length of 12
cm to a length of 15 cm. How much work is done in stretching the spring from 12 an to 20cm? 20pts.
EON—$105k
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O onto 3. Find the average value ofthe function f(x) = xzw/l + x3 on the interval [0, 2]. 10 pts \
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4. 3. Find the length ofthe curve y 2 %~ + T
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\ 4?: 4?? J f D I Plot? is bounuea DV 5 lines: x = 0.)» = 0. and 4 —y : . The densitv ofthe material of which the plate is constructed has a value of 3y at the point (x, y). What IS the
centroid ot'the plate? What is the center of mass of the plate? 24 pts ...
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 Spring '06
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 Math, Center Of Mass, Trigraph, The Spring, Tip X't cwgdrxﬂ, David Mintz

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