- #1

pyrosilver

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## Homework Statement

Define interval where a) MVT applies, b) Rolle's applies, c) MVT doesn't apply. explain. (In this, we're saying Rolle's is f(a) = f(b), not f(a) = (f(b) = 0.

## Homework Equations

## The Attempt at a Solution

f(x) = (x-4)^(2/3)a) for MVT, must be cont on [a,b] and diff on (a,b). It is not diff at x=4, but for interval [5,8] it should be fine, so a = [5,8]?

b) I'm confused for this one. f(1) = 2.08. f(7) = 2.08. However, x is not diff at 4, so [1,7] isn't a valid interval, right? What is a valid interval, one that let's Rolle's apply?

c) MVT doesn't apply on [1,7] because x is not diff at 4? Is that okay?

Please help!