$[10]$

$3.($Sections $13\mathrm{.}1-13\mathrm{.}5)$

Let $R$ be the triangle in $R^2$ with vertices $(1,1),(2,3)$ and $(4,2).$

$($a$)$ Sketch the region $R.$ Find the points of intersection of the line and the circle and indicate them on your sketch.

$($b$)$ Is $R$ a Type I region? If yes, describe it as a Type I region. If not, describe it as a union of Type I regions. Use set builder notation.

$($c$)$ Is $R$ a Type II region? If yes, describe it as a Type II region. If not, describe it as a union of Type II regions. Use set builder notation.

$($d$)$ Calculate the integral

${}_{R}x+$ydA

i$.$ by using the order of integration $dydx$

ii$.$ by using the order of integration $dxdy.$

$(8)$

$[18]$

Can you please help me with question d i and ii with its calculations only these two questions. Thank you