A$.($using the temp distribution$)$ The temperature distribution in a $4-$meter$-$

thick concrete wall is given by $T(x)=a{x}^2+bx+c,$ where $a=-2\frac{C}{m^2},b=$

$4\frac{C}{m},c=30C,$ and $x=0$ meters is the wall's left side. The wall is at

steady$-$state. Assume radiation effects are negligible. See the appendix

for concrete properties.

a$.$ Graph the temperature distribution in the wall.

b$.$ Determine the temperature gradient at $x=0,1,2,3,$ and $4$ meters

$($include units!$)$

c$.$ Determine the heat flux $($magnitude and direction$)$ at $x=0,1,2,3,$

and $4$ meters.