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8/17/2019 MATH-QUIZ 4
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QUIZ 4
1) Evaluate the following limit:
2
lim . x x x x→∞
2) Sand is poured onto a growing conical pile of sand, at the constant rate of
6m3s-1
. Suppose the side of the cone maes a 6! degree angle to cone"s #ase.
$iven
21
3V r hπ
.
%i) &ow fast is the height of the sand pile increasing when the volume of the
cone is1'!m
3
(
%ii) f the volume of the cone does not change, find the rate of change of its
height,h
with respect to its radius,r
.
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