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.
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?