Let D D be the domain between the line y = b x / a y = b x / a and the parabola y

Let $D$ be the domain between the line $y=bx/a$ and the parabola $y=b{x}^2/a^2$, where $a,b>0$. Assume the mass density is $\delta (x,y)=1$ for Exercise 37 and $\delta (x,y)=xy$ for Exercises 38-40. Compute the given quantities.

Data From Exercise 37

let D be the triangular domain bounded by the coordinate axes and the line y = 3 − x, with mass density δ(x, y) = y. Compute the given quantities.

I_x

Center of mass