Question

Calculus Help

Answer 1

Yes, the mean value theorem applies since f(x) is continuous on (-1,1)

Answer 2

Do you use f(b)-f(a) / b-a ?

Answer 3

Thats the other mean value theorem thing. For finding where the tangent line has the same slope as the secant line between the end points. I don't think you use that here.

Answer 4

Yea, use the MVT for integrals

Answer 5

find \(c\) that satisfies :
\[f(c) = \dfrac{1}{b-a}\int\limits_a^bf(x)\,dx\]