Rectangular

$3.$ A lamina is bounded by $y=x^2,$ the $x-$axis and the line $x=1$ with density $(x,y)=x.$ Find the coordinate, $\frac{?}{\text{b}\text{a}\text{r}}(y)$ of the centre of mass of the lamina.

$[6$ marks$]$

$4.$ Evaluate

Rectangular

${\displaystyle \underset{-1}{\overset{0}{}}}{\displaystyle \underset{0}{\overset{y-2}{}}}{\displaystyle \underset{e}{\overset{e^2}{}}}\frac{x+y}{z}dzdxdy$

$[5$ marks$]$