7. What is the big O of each of the following expressions?a) (4N3 +6N? + N) /3Big(0)b) 6log2N + 2Nlog2N +1Big(O)c) (2N - 5) * (N + 7)Big(O)d) 4N + Nlog2N + 3N + 10Big(O)

Name: 7. What is the big O of each of the following expressions?a) (4N3 +6N
Uploaded: 2024-03-20T06:38:44.000Z
Channel: Bartleby
Description: 7. What is the big O of each of the following expressions?a) (4N3 +6N? + N) /3Big(0)b) 6log2N + 2Nlog2N +1Big(O)c) (2N - 5) * (N + 7)Big(O)d) 4N + Nlog2N + 3N + 10Big(O)

(a). We have the expression 4N3+6N2+N3. Note that for a large value of N, the terms N and N2 can be…

Answered: 7. What is the big O of each of the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Concept explainers

Topic Video

Question

7. What is the big O of each of the following expressions?
a) (4N3 +6N? + N) /3
Big(0)
b) 6log2N + 2Nlog2N +1
Big(O)
c) (2N - 5) * (N + 7)
Big(O)
d) 4N + Nlog2N + 3N + 10
Big(O)

Expert Solution

Step 1

(a). We have the expression $\frac{4 N^{3} + 6 N^{2} + N}{3}$ . Note that for a large value of N, the terms $N and N^{2}$ can be neglected with respect to $N^{3}$ . Therefore, for a sufficiently large value of N, we have $\frac{4 N^{3} + 6 N^{2} + N}{3} \approx \frac{4}{3} N^{3}$ .

Hence, the big O for the expression $\frac{4 N^{3} + 6 N^{2} + N}{3}$ is $N^{3}$ .

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Propositional Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions