3. Solve each of the following recurrence relations using the characteristic equation technique and then state T(n) in the notation. Provide full details. - (a) T(n) = 4T(n − 1) - 3T (n − 2) + (n + 6)3", T(0) = 0, T(1) = 1 - (b) T(n) = 3T(n/3) + 2n, T(1) = 0 (c) T(n) = 2T(n/2) − T(n/4) + n logn, T(1) = 0, T(2) = 1 (d) T(n) = (T(n − 1))²/T(n − 2), T(0) = 1,T(1) = 2

3. Solve each of the following recurrence relations using the characteristic equation technique and then state T(n) in the notation. Provide full details. - (a) T(n) = 4T(n − 1) - 3T (n − 2) + (n + 6)3", T(0) = 0, T(1) = 1 - (b) T(n) = 3T(n/3) + 2n, T(1) = 0 (c) T(n) = 2T(n/2) − T(n/4) + n logn, T(1) = 0, T(2) = 1 (d) T(n) = (T(n − 1))²/T(n − 2), T(0) = 1,T(1) = 2

Similar questions

The possible solution to the recurrence relation T(n)= 2T(n/4) + 1 a θ(n) b θ(n2) c θ(nlgn) d θ(√n)
Algorithms
Express the solution in big-O terms for the following recurrence relation: T(n) = 9*T(n/3) + n^3; T(1)=1; Answer: T(n) = O(......) .
Asymtotic Analysis : Prove the following claims
Express the solution in big-O terms for the following recurrence relation: T(n) = 9*T(n/3) + n^3; T(1)=1; Answer: T(n) = O(......) .
Please explain, as simplistically (but thoroughly) as possible, how to develop a k-map from a truth table to be used to simplify an equation.Examples: xz + (xy + ~z) ~xyz + yz + x~y
Develop a closed form solution for the recurrence relation: P(n) = 5 if n = 0, P(n) = P(n-1)+3 if n > 0 Prove the closed form solution is valid for all n
Apply Master Theorem to bound each one of the following recurrence relations using Big-O notation. Please show work in depth. In all cases T(n)=1.