Question: An algorithm have a time complexity of f(n) = 3n 3 + n 2 + logn, prove that f(n) O(n 3 ) f(n) (n 3

  1. An algorithm have a time complexity of f(n) = 3n3 + n2 + logn, prove that
    1. f(n) O(n3)
    2. f(n) (n3)
    3. f(n) (n3)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Q:

Consider the worst-case scenario and for each questions: Feel free to use O(1) instead of specific constants when analyzing the algorithms a. State the size of the input in big-Oh. For example, if...

Q:

Python and most Python libraries are free to download or use, though many users use Python through a paid service. Paid services help IT organizations manage the risks associated with the use of...

Q:

1 . Prove that finding the minimum ( or maximum ) in a sequence of n numbers x 1 , x 2 , . . . , xn requires at least n 1 comparisons. 2 . Finding the smallest and the second smallest elements can...

Q:

Amortized Complexity Example: Dynamic ( Extendable ) ArrayWe present a reallocation strategy for an array that will ensure total time complexity O ( n ) for n successive insert operations, and thus...

Q:

niap F0 = f(0) kilograms of fuel. It is released from an orbiter at time zero at height H0 = h(0) with an initial downwards velocity of zero. It must touch down at less than 1 metre per second. Its...

Q:

by prove your answer please, 3) Compare the orders of the following pairs of functions, use only o, w or symbols for comparison. Prove your claim. d) nh+ 3n ng(n) +n? .(0.5)", 4 n lg(n + 12n+ lg(n")...

Q:

a) Suppose that for n very large, T(n)Kn where K is a constant. i) (0.5 point) What would then the values of T(n), T(n) 2 , and T(n)/ln(n) be, respectively? .... answer here ii) (1.5 points) What...

Q:

Big-O analysis (worst case time complexity) I have the question and the answer, I just need an explanation on how they got the answers. . . the question (it has 3 parts: a,b, and c) . . the answers:...

Q:

the java class Search.java, which contains implementations of 3 different algorithms for solving the search problem: LinearSearch, of time complexity O(n). QuadraticSeach, of time complexity O(n 2 )....

Q:

The following is a python pseudo-code. I have a few questions about it below. 1. What is N[1] = 1 translate to in code? Originally I thought N[1] = 1 was some kind of special dynamic programming...

Q:

A woman has her purse snatched by two teenagers. She is subsequently shown a police lineup consisting of five suspects, including the two perpetrators. What is the sample space associated with the...

Q:

Toby Manufacturing produces three different products in the same plant and uses a job order costing system to estimate product costs. A flexible budget is used to forecast overhead costs. Total...

Q:

16. Compared to traditional methods of allocating overhead, activity-based costing (ABC) uses: a. More allocation bases. b. Only allocation bases related to direct labor. c. Machine hours as an...

Q:

Which of the following is not a major marketing mix eintir: Price Distribution Promotion Packaging Product

Q:

What are the forces for change, that is, what forces could lead to your ideal situation?

Q:

Looking at your figure, which side has the stronger forces? What does this suggest about the likelihood of change in this situation?

Q:

Describe how managing in a global environment can differ from the traditional approach to managing. Describe one way that we can develop managers to be more successful in a global environment.