For each problem, find the values of c that satisfy the Mean Value Theorem for Integrals.
Problem 1 :
Problem 2 :
f(x) = 4/x2 ; [-4, -2]
For each problem, find the average value of the function over the given interval. Then, find the values of c that satisfy the Mean Value Theorem for Integrals.
Problem 3 :
f(x) = −x + 2; [−2, 2]
Problem 4 :
Problem 5 :
Problem 6 :
1) average value = -2/3, c = (3 - 4√3)/3
2) Average value = 1/2, c = -2√2
3) Average value = 2, c = 0
4) Average value = -4, c = 3.8
5) Average value = 1/6, c = -√6-3
6) Average value = -2, c = -3 and -5.
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM