Math 181

Quiz 3††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††††† Name:††††††††††††††††††††††††††††††††††††††††††††††† Key††††††††††††††††††††††† †††††††††††††††

July 1, 2013

††††††††††††††††††††††††††††††† Show all work.Remember to include units where appropriate.

1.       If a tank holds 1000Liters of water, and the water drains out the bottom in 5 minutes, then according to Toricelliís Law the volume after t minutes is given by .

a.      

3 points each part

 
Evaluate , and interpret what this quantity means in the context of this problem.

 

 

 

 

b.      Evaluate , and interpret what this quantity means in the context of this problem.

After 2 minutes, water is draining out at a rate of 240 liters/minute.

 

 

4 points

 
 


2.       Find the slope of the tangent line to at the point (-1,4)

Alternatively, after the first step one could proceed as follows: