$\"\"$

\

The function is $\"\"$ .

\

Average value of the function on the interval $\"\"$ is $\"\"$ .

\

Mean value theorem for integrals:

\

If $\"\"$ is continuous on $\"\"$ , then there exist a number $\"\"$ in $\"\"$ such that $\"\"$ .

\

By the mean value theorem,

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Roots of the quadratic equation $\"\"$ are $\"\"$ .

\

$\"\"$

\

$\"\"$ and $\"\"$

\

$\"\"$ and $\"\"$ .

\

$\"\"$

\

The values of $\"\"$ are $\"\"$ and $\"\"$ .