Q$2($a$)$: Write a function in RStudio called my$\_$sum using two for loops to find ${\displaystyle \underset{x=1}{\overset{n}{}}}{\displaystyle \underset{y=1}{\overset{m}{}}}\frac{x^2\sqrt[\phantom{2}]{y}}{|x-2|+y}.$

For example, my$\_$sum $(n=5,m=6)=113\mathrm{.}1786284.$

Q$2($b$)*$: Write a function in Rstudio called my$\_$sum$2$ without any loops $($for loops, while loops, repeat loops$)$ to do the same task in Q$2($a$).$

Hint: you may define two matrices A and $B$ of suitable dimensions, obtain a new matrix $C$ by performing

vectorized operators on A and $B$ such that the sum of all the elements in $C$ gives you the required sum.