1. zero position

Lef $f'' > 0$ on $[a,b]$ with $f(a) < 0 = f(c) < f(b), \quad \int_a^b f(x)dx = 0$
Show that $c-a > b-a$

3. Originally Posted by elim
Lef $f'' > 0$ on $[a,b]$ with $f(a) < 0 = f(c) < f(b), \quad \int_a^b f(x)dx = 0$
Show that $c-a > b-a$
c-a>b-a is just c>b, but b is the right endpoint
So this seems wrong.
maybe c-a>b-c?

4. Originally Posted by autumn
c-a>b-a is just c>b, but b is the right endpoint
So this seems wrong.
maybe c-a>b-c?
You are right, sorry about the typo