FIND THE VALUES OF C THAT SATISFY THE MEAN VALUE THEOREM WORKSHEET

For each problem, find the values of c that satisfy the Mean Value Theorem for Integrals.

Problem 1 :

f(x) = x + 2; [-3, 2]

Problem 2 :

Problem 3 :

Problem 4 :

Problem 5 :

Problem 6 :

Answer Key

1) So, the value of c is -0.5, which lies in the interval.

2) So, the value of c is (9 + 2√3)/3, which lies in the interval.

3) So, the value of c is √6, which lies in the interval.

4) So, the value of c is 4/3, which lies in the interval.

5) So, the value of c is -1 + 2√2 , which lies in the interval.

6) So, the value of c is 7/3 , which lies in the interval.