Math 182

Quiz 3 Name: __ Key __

*Show all work, and be sure to include units in your answers where
appropriate*

1. What is the average value of the function

2. A cable, with a mass of 2 kg / meter, is used to lift 20 kg of water from a well 6 meters deep.

How much work is done?

*At a depth of x
meters, the combined mass of the cable and the water is (2x+20)kg, which has a weight of *

*
To lift this a small amount, say *dx
*meters, requires (2x+20)(9.8)dx Joules*

*The total work is
therefore *

$ Number
sold (demand)

3. For the demand function shown, what is the consumer’s surplus if 600 units are sold at $20 each?

*The consumer’s surplus
is the area of the region above the horizontal dashed line, and below the
demand curve. This is a triangle with
area (1/2)(600*