(Solved): Suppose that the lamina is the region bounded by the curves y=x2,x=1 and the x-axis as shown bel ...

Suppose that the lamina $$?$$ is the region bounded by the curves $$y=x^2,x=1$$ and the $$x$$-axis as shown below. The variable density of the lamina is given by $$?(x,y)=144x^2{y}^2$$ Hence the Mass of the lamina is given by $${?}_{?}?(x,y)dA.$$ Given that the mass of the lamina is $$\frac{16}{3}$$, find the centre of mass $$(\stackrel{?}{x},\stackrel{?}{y})$$ of the lamina. Enter the exact value of your answers in Maple syntax in the boxes below. $$\begin{array}{l}\stackrel{?}{x}=\\ \stackrel{?}{y}=\end{array}$$