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Calculus
Practice Quiz 327


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1.  Matt heats a circular hot plate so that the radius increases at a rate of 0.02 cm/sec.  At what rate is the area of the hot plate increasing when the radius is 100 cm?
2.314
12.57
4
2.  Holly blows up a spherical balloon at a rate of 100 cc/sec.  At what rate is the radius of the balloon increasing when the diameter is 18 cm?
.226
.881
.098
3.  Tiffany is standing 30km from the tracks of an approaching train.  The train is traveling 90 km/h.  How fast is the distance between the train and Tiffany decreasing when the train is 50km away?
72
77.17
110
4.  Brian is draining a cylindrical tank that has a radius of 4m.  How fast does the water level drop when the water is drained at a rate of 3L/sec.?
-0.23873
0.11011
-0.05968

**we will worry about units of measure for these problems soon---I know!!--no naked numbers!!!

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