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 Toricelli’s 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: