Problem $3.$ Find the centroid of the section given below and determine the moment of inertia using ParallelAxis Theorem in both principal directions at the section centroid and at the base of the section.

Problem $4.$ For the solid shape that is defined from $0$ to $1$ on $x$ and $y$ as two straight edges and the curve given below, with $y$ equal to the square root of $x,$ find the centroid and moment of inertia at the centroid about $x$ and $y$ axes, as well as about the base and left side using Parallel$-$Axis Theorem.