Find the area of the region between the graphs of $f(x)=9x+8$ and $g(x)=x^2+4x+2$ over $0,2.$Use a utility graphing calculator to compute $sinh(x)$ and $cosh(x)$ for $x=-2,0,3.$

Use the utility graph to estimate the computations by plotting the $5$ equations, $y=sinh(x),y=cosh(x),$ and $x=-2,0,3.$

$($Enter your equations in a comma separated list using the format $y=[$equation$]$ or $x=[$equation$].$ Interact with the graphs by

zooming and clicking on points of intersection to display coordinates.$)$

Compute $sinh(x)$ for $x=-2,0,3.$

$($Enter your answer rounded to three decimal places.$)$

$sinh(-2)=$

$sinh(0)=$

$sinh(3)=$

Compute $cosh(x)$ for $x=-2,0,3.$

$($Enter your answer rounded to three decimal places.$)$

$cosh(-2)=$

$cosh(0)=$

$cosh(3)=$

$($Use symbolic notation and fractions where needed.$)$

$A=$