Barrons AP Calculus

(Marvins-Underground-K-12) #1
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2

A   balloon is  being   filled  with    helium  at  the rate    of  4   ft^3 /min.  The rate,   in
square feet per minute, at which the surface area is increasing when the
volume is ft^3 is
4 π
2
4
1
2 π
A circular conical reservoir, vertex down, has depth 20 ft and radius at
the top 10 ft. Water is leaking out so that the surface is falling at the rate
of ft/hr. The rate, in cubic feet per hour, at which the water is leaving
the reservoir when the water is 8 ft deep is
4 π
8 π
16 π

A   local   minimum value   of  the function        is

1
−1
e
0
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