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 

.