Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Give a big-O estimate for each of these functions. For the function g in your estimate f(x) is Og(x)), use a simple function g of smallest order. If f(x) = (n³ + n² log n)(log n + 1) + (17 log n+19)( n³ + 2), then g(x) = Multiple Choice 13 O n-log n log n log n

Give a big-O estimate for each of these functions. For the function g in your estimate f(x) is Og(x)), use a simple function g of smallest order. If f(x) = (n³ + n² log n)(log n + 1) + (17 log n+19)( n³ + 2), then g(x) = Multiple Choice 13 O n-log n log n log n

Advanced Engineering Mathematics
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
icon
Related questions
Question

Please help me with these two questions. I am having trouble understanding what to do.

 

Thank you

NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Give a big-O estimate for each of these functions. For the function g in your estimate f(x) is O(g(x)), use a simple function g of smallest order. If f(x) = (n³ + m² log n)(log n + 1) + (17 log n+19)( n³ + 2), then g(x) = ________ Multiple Choice 13 n-log n log n log n
Transcribed Image Text:NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Give a big-O estimate for each of these functions. For the function g in your estimate f(x) is O(g(x)), use a simple function g of smallest order. If f(x) = (n³ + m² log n)(log n + 1) + (17 log n+19)( n³ + 2), then g(x) = ________ Multiple Choice 13 n-log n log n log n
Click and drag the steps to their corresponding step numbers to prove that the given pair of functions are of the same order. (Note: Consider to prove the result, first prove f(x) = O(g(x)) and then prove g(x) = O(f(x)). f(x) = 2x²+x-7 and g(x) = x² Step 1 Hence, f(x) = O(g(x)) and g(x) = O(f(x)). Step 2 For large x, 2x² + x 7 ≥ 3x². Hence |f(x)|≥1g(x) for large x. For large x, x² ≤ 2x²+x-7. Hence, g(x) ≤ 1 |f(x)| for large x. Step 3 For large x, x² ≥ 2x²+x-7. Hence |f(x)|≥ 3g(x) for large x. For large x, 2x² + x 7 ≤ 3x². Hence |f(x)| ≤ 3g(x) for large x.
Transcribed Image Text:Click and drag the steps to their corresponding step numbers to prove that the given pair of functions are of the same order. (Note: Consider to prove the result, first prove f(x) = O(g(x)) and then prove g(x) = O(f(x)). f(x) = 2x²+x-7 and g(x) = x² Step 1 Hence, f(x) = O(g(x)) and g(x) = O(f(x)). Step 2 For large x, 2x² + x 7 ≥ 3x². Hence |f(x)|≥1g(x) for large x. For large x, x² ≤ 2x²+x-7. Hence, g(x) ≤ 1 |f(x)| for large x. Step 3 For large x, x² ≥ 2x²+x-7. Hence |f(x)|≥ 3g(x) for large x. For large x, 2x² + x 7 ≤ 3x². Hence |f(x)| ≤ 3g(x) for large x.
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS