Need solutions for the following questions with step by step work shown
Let $f(x) = x^2 +x + 15$ and $g(x) = x^2 log(x) + 10$. Prove that f(x) is O(g(x)) by:
1. Providing witnesses C and k and
2. Proving that the inequality holds for the value you choose in 1.
Let $f(x) = x^5 + 10$ and $g(x) = x^5 + x + 10$
1. Prove that $f is O(g)$
2. Prove that $f is ?(g)$
3. Given parts a and b, what other relationship can you show about f and g?
Please provide full answers, and please solve them in a way that a someone who semi-understands (me) can comprehend and study it in the future
That's what Matchmaticins actually expects from the answerers. All solutions should be written so someone with basic background can understand. I wrote a very detailed solution, but let me know if you need any clarification.
- The questioner was satisfied and accepted the answer, or
- The answer was disputed, but the judge evaluated it as 100% correct.
Leave a comment if you need any clarifications.
thanks phil. Can you please label parts 1 and 2 of (a) and also if possible solve the question with some other relatively lower value for C (say 3,4,5,17) .
Will really appreciate if you'd write back:)
What I have written for (a) answers part 2 of the question. The last line answers part 1, i.e. k=1 and C=e^2.
So the answer for part 1 is k=1 and C=e^2.
In this kind of questions values of C does not matter, you just need to show that for some C and K the inequality holds and that's what we have done here.
This is actually a homework question for a course I am already on thin ice on. The grader is kinda sadistic and I am pretty sure he won't give me any points unless I solve the first part(C and K) followed by the second (inequality).
Please understand my plight and sorry I am coming across as annoying.
Sir, the answer for part 1 i: s k=1 and C=e^2. The answer for part 2 is in the file I uploaded. You seem to be overthinking this. Everything is ok, relax and submit your homework.
- 169 views
- Why does this spatial discretization with n intervals have a position of (n-1)/n for each interval?
- Discrete math
- Functions undergrad
- Logic Question 𝐴∨𝐵→𝐶⊢(𝐴→𝐶)∧(𝐵→𝐶)
- [Discrete Mathematics] Algorithm and Pseudocode - Write an algorithm to find the roots of a quadratic equation ax2 + bx + c = 0. Write Pseudocode of algorithm.
- Find an expression for the total area of the figure expressed by x.
- Is it true almost all Lebesgue measurable functions are non-integrable?
- Recursive Set