Question

Consider function f (n) = 3n^2 + 9n + 554. Prove f(n) = O(n^2) Prove that...

  1. Consider function f (n) = 3n^2 + 9n + 554.

    1. Prove f(n) = O(n^2)

    2. Prove that f(n) = O(n^3)

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider function f (n) = 4n^2 + 8n + 329. 1. prove that f(n) = Ω(n)...
Consider function f (n) = 4n^2 + 8n + 329. 1. prove that f(n) = Ω(n) 2. prove that f(n) = Ω(n^2)
1. A function f : Z → Z is defined by f(n) = 3n − 9....
1. A function f : Z → Z is defined by f(n) = 3n − 9. (a) Determine f(C), where C is the set of odd integers. (b) Determine f^−1 (D), where D = {6k : k ∈ Z}. 2. Two functions f : Z → Z and g : Z → Z are defined by f(n) = 2n^ 2+1 and g(n) = 1 − 2n. Find a formula for the function f ◦ g. 3. A function f :...
Please note n's are superscripted. (a) Use mathematical induction to prove that 2n+1 + 3n+1 ≤...
Please note n's are superscripted. (a) Use mathematical induction to prove that 2n+1 + 3n+1 ≤ 2 · 4n for all integers n ≥ 3. (b) Let f(n) = 2n+1 + 3n+1 and g(n) = 4n. Using the inequality from part (a) prove that f(n) = O(g(n)). You need to give a rigorous proof derived directly from the definition of O-notation, without using any theorems from class. (First, give a complete statement of the definition. Next, show how f(n) =...
Prove using any technique that 2^n > 3n for all n>=4
Prove using any technique that 2^n > 3n for all n>=4
Let A = 3 1 0 2 Prove An = 3n 3n-2n   0 2n for all...
Let A = 3 1 0 2 Prove An = 3n 3n-2n   0 2n for all n ∈ N
(a) Prove or disprove the statement (where n is an integer): If 3n + 2 is...
(a) Prove or disprove the statement (where n is an integer): If 3n + 2 is even, then n is even. (b) Prove or disprove the statement: For irrational numbers x and y, the product xy is irrational.
Let n ∈ N and f : [n] → [n] a function. Prove that f is...
Let n ∈ N and f : [n] → [n] a function. Prove that f is a surjection if and only if f is an injection.
Prove that there are infinitely many primes of the form 3n+2, where n is a nonnegative...
Prove that there are infinitely many primes of the form 3n+2, where n is a nonnegative integer.
Let n be a positive odd integer, prove gcd(3n, 3n+16) = 1.
Let n be a positive odd integer, prove gcd(3n, 3n+16) = 1.
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)).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT