QUESTION $4(15$ marks$)$

The following table lists hourly measurement of heat flux $q(ca\frac{l^2}{c}\frac{m^2}{h})$ at the surface of a

solar collector.

$($a$)$ Estimate the total heat absorbed by a $150,000c{m}^2$ collector panel during a $14-$hours

period using Trapezoidal rule and appropriate Simpson's rule. The panel has an

absorption efficiency $e_{?}=>$ of $45\%.$ The total heat absorbed is given by

$h=e_{}{\displaystyle \underset{0}{\overset{1}{}}}$qAdt

where $A=$ area and $q=$ heat flux.

$(12$ marks$)$

$($b$)$ Calculate the rate of change of heat flux at $t=6$ hours using $3$ points central difference.

$(3$ marks$)$help