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 (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?