Math 182

Quiz 1 Name: __ Key __

__You must show all work and justify all answers to receive
credit__

1. g(x) = , where f(t) is the function defined on the interval [0,7] as shown:

a. What is the value of g(1)?

The area under the curve from 0 to 1 form a triangle.

Its height is 1.5 (note that the line goes from (0,0) to (2,3))

and its base is 1, so the area is ½ (1)(1.5)=.75

b. What is the value of g’(3)?

2. Evaluate
the following. __Show all work__.

a.

Let

b. An oil tank ruptures at time t=0 and oil leaks from the tank at a rate of . How much oil leaks out during the first hour?