Asked by Eric

Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval.

f(x) = 4√x

[4, 9]
Answered by Steve
f(4) = 8
f(9) = 12
slope of secant = 4/5

f'(x) = 2/√x

so, find c such that

2/√c = 4/5