Any help on number 2 would be greatly appreciated. Thanks!
Any help on number 2 would be greatly appreciated. Thanks! Give asymptotic upper bounds (i.e.. in...
Give asymptotic upper and lower bounds for T(n) in each of the following recurrences. Assume that T(n) is constant for sufficiently small n. Make your bounds as tight as possible, and justify your answers. T(n)=3T(n/3−2)+n/2
Give asymptotic upper and lower bounds for T(n) in each of the following recurrences. Assume that T(n) is constant for n ≤ 3. Make your bounds as tight as possible, and justify your answers. 5.a T(n) = 2T(n/3) + n lg n 5.b T(n) = 7T(n/2) + n3 5.c T(n) = 3T(n/5) + lg2 n
Give asymptotic upper and lower bounds for T(n)in each of the following recurrences. Assume that T(n)is constant forn≤10. Make your bounds as tight as possible, and justify your answers. 1.T(n)=3T(n/5) +lg^2(n) 2.T(n)=T(n^.5)+Θ(lglgn) 3.T(n)=T(n/2+n^.5)+√6046 4.T(n) =T(n/5)+T(4n/5) +Θ(n)
Give asymptotic upper bounds (in terms of O) for T(n) in each of the following recurrences. Assume that T(n) is constant for n < 2. Make your bounds as tight as posible. a) T(n)=T(H) +1; b) T(n) = T(n-1) + 1/n;
Give the asymptotic bounds for T(n) in each of the following recurrences. Make your bounds as tight as possible and justify your answers. Assume the base cases T(0)=1 and/or T(1) = 1. 1. T(n) = T(n-1) + 2n 2. T(n) = T(n-2) = 3
Give asymptotic upper and lower bounds for T(n) in each of the following recurrences. Assume that T(n) is constant for n≤2. Make your bounds as tight as possible, and justify your answer. *Hint : You can use Master method to obtain Θ(.). (a) T(n) = 4T(n/4) + 5n (b) T(n) = 4T(n/5) + 5n (c) T(n) = 5T(n/4) + 4n (d) T(n) = 25T(n/5) + n^2 (e) T(n) = 4T(n/5) + lg n (f) T(n) = 4T(n/5) + lg^5 n...
Give asymptotic upper and lower bounds for T(n). T(n) is constant for small n. Use either substitution, iteration, or the master method. 1) T(n) = T(n-5) + n 2) T(n) = 2T(n/4) + 16T(n/8) + T(n/8) + 19
Using the Master Method give asymptotic bounds for T(n) in each of the following recurrences. Assume that T(n) is constant for n ≤ 4. (a) T(n) = 4 T(n/4) + n lg2 n (b) T(n) = 3 T(n/4) + n lg n c) T(n) = 4 T(n/5) + √? (d) T(n) = 4 T(n/2) + n2 lg n
Please explain the solution, on which method is needed, and provide the solution neatly. Give the asymptotic bounds for T(n) in the following recurrence. Make your bounds as tight as possible and justify your answers. ?(?)=3?(?−1)+1
Any help on this question would be greatly appreciated. I need to give my answer in terms of the radius of earth. Thanks! The period of a pendulum oscillating on the surface of planet Ceti-Alpha-5 is 1.4 times as great as its period on the surface of the earth. If the mass of Ceti-Alpha-5 is 0.6 times that of the earth, what is its radius? Express your answer in terms of the radius of the earth