Please show all work and explain.

4. (25pt pts.) Solving recurrences Solve the following recurrence relations and give a bound for each of them. Do not use the Master Theorem. You must use the recursion tree method. For each recurrence, state the branching factor, the height of the tree, the size of the subproblems at depth k, and the number of subproblems at depth k. You can draw the recursion tree to help find the solution, but do not include the tree in your submission as it will not be graded. (a) T(n)=4T(n/3)+n (b) T(n)=3T(n/3)+n (c) T(n)=4T(n/4)+n (d) T(n)=16T(n/4)+n2 (e) T(n)=3T(n/4)+1 4. (25pt pts.) Solving recurrences Solve the following recurrence relations and give a bound for each of them. Do not use the Master Theorem. You must use the recursion tree method. For each recurrence, state the branching factor, the height of the tree, the size of the subproblems at depth k, and the number of subproblems at depth k. You can draw the recursion tree to help find the solution, but do not include the tree in your submission as it will not be graded. (a) T(n)=4T(n/3)+n (b) T(n)=3T(n/3)+n (c) T(n)=4T(n/4)+n (d) T(n)=16T(n/4)+n2 (e) T(n)=3T(n/4)+1