Q$3.$ Explain Master Theorem $.$Using Master Theorem solved the following recurrence.

$(2$ Marks$)$

a$)T(n)=9T(\frac{n}{3})+n^2$

b$)T(n)=2T(\frac{n}{4})+10\sqrt[\phantom{2}]{?}n$

Q$4.$Write an algorithm for divide$-$and$-$conquer technique for finding the position of the largest element in a $n$ array of $n$ numbers.

$(2$ Marks$)$