Question

give T(n)=T(n-1)+2^n use substituiton method prove that it’s big oh O(n^2)

give T(n)=T(n-1)+2^n use substituiton method prove that it’s big oh O(n^2)

Homework Answers

Answer #1

Proof using subsitution method given below

if you are having any doubts please ask i will answer asap

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Given T(n)= T(n-1) + 2*n, using the substitution method prove that its big O for T(n)...
Given T(n)= T(n-1) + 2*n, using the substitution method prove that its big O for T(n) is O(n^2). 1. You must provide full proof. 2. Determine the value or the range of C.
Prove, using the definition of Big-Oh that r + 3 is O(r2) r + 3 is...
Prove, using the definition of Big-Oh that r + 3 is O(r2) r + 3 is O(r) Experimentally (use charts to) analyze the runtime of an algorithm which performs T(w) operations when the input to the algorithm is size w. Hint: chart it against 2n. T(0) = T(1) = 3 T(a) = 2*T(a-2)+T(a-1) use big-oh proof
Solve the following recurrences: (a) T(n) = T(n=2) + O(n), with T(1) = 1. Solve this...
Solve the following recurrences: (a) T(n) = T(n=2) + O(n), with T(1) = 1. Solve this two times: one with the substitution method and one with the master theorem from CLRS. When you use the master theorem, carefully show the values for the parameters a; b. For the following cases you can use your preferred method. In either case, show your work: (b) T(n) = 2T(n/2) + O(1), T(1) = 1. (c) T(n) = 3T(n/2) + O(1), T(1) = 1....
Use mathematical induction to prove the solution of problem T(n) = 9T(n/3) + n, T(n) =...
Use mathematical induction to prove the solution of problem T(n) = 9T(n/3) + n, T(n) = _____________________________. is correct (Only prove the big-O part of the result. Hint: Consider strengthening your inductive hypothesis if failed in your first try.)
Let f,g be positive real-valued functions. Use the definition of big-O to prove: If f(n) is...
Let f,g be positive real-valued functions. Use the definition of big-O to prove: If f(n) is O(g(n)), then f2(n)+f4(n) is O(g2(n)+g4(n)).
Give the big-Oh notation of the following expression: 1000 + 1000000*n + 5*n^2
Give the big-Oh notation of the following expression: 1000 + 1000000*n + 5*n^2
1.) the following code fragments give running time analysis (Big Oh). Explain your answer: sum2 =...
1.) the following code fragments give running time analysis (Big Oh). Explain your answer: sum2 = 0; sum5 = 0; for(i=1; i<=n/2; i++) { sum2 = sum + 2; } for(j=1; j<=n*n; j++) { sum5 = sum + 5; } i think it is O(n^2) since big oh finds the order of worst case which is the the second loop being n^2 complexity. but im not sure. 2.) Give an efficient algorithm along with running time analysis to find the...
(Note: "O" stands for Big O notation) prove mathematically that if a Turing Machine runs in...
(Note: "O" stands for Big O notation) prove mathematically that if a Turing Machine runs in time O(k(n)), then it runs in time O(h(k(n)) +c), for any constant c ≥ 0 and any functions k(n) and h(n) where h(n) ≥ n.
Prove using the definition of O-notation that 2^(n+2)∈O(2^(2n)), but 2^(2n)∉O(2^(n+2)).
Prove using the definition of O-notation that 2^(n+2)∈O(2^(2n)), but 2^(2n)∉O(2^(n+2)).
Consider function f (n) = 3n^2 + 9n + 554. Prove f(n) = O(n^2) Prove that...
Consider function f (n) = 3n^2 + 9n + 554. Prove f(n) = O(n^2) Prove that f(n) = O(n^3)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT