1. Prove the following polynomial is 0(n¹). Use algebraic manipulations. P(n) = 5n -10 n³ + 20 n² + 50 n - 100 (a) Prove 0 (nª). (b) Prove (n¹).
1. Prove the following polynomial is 0(n¹). Use algebraic manipulations. P(n) = 5n -10 n³ + 20 n² + 50 n - 100 (a) Prove 0 (nª). (b) Prove (n¹).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
can you solve 2020 image one I also provided refrences how MY prof solved so based on that pleease solve this image 2020 one step by step formet please use from refrnecs
Transcribed Image Text:Dept, NJI
First
1. Prove the following polynomial is 8(*). Use algebraic manipulations.
P(n)= 5n+20 ³-10 m² +10
(a) Prove O(n*).
3
2
P(x) = 5n² + 20 n°²- 10 m² +10
<5n4+201³
+10
Therefore,
5
<5n² + 201³ (1) + 10 (212) 4
3
≤n² (5+02 +0.0000001)
n4
n4
(m4 (5.2001)
m2lcv
(b) Prove (n*).
P(n) = 5n² + 20 n²³ - 10 m² +10
3
4
4.9 m
m2 10
Last
Discard Neg Terms
< P(x) < 5.2001 n4
m2100, (m)>)
> 5n²4-10 n²
Σ 5n" - 102² (+)² m2 10 (1) 2)
2
>
10
1
>n² (5-0.1)
> 4.9 m²
Note this
Transformation
may be applied
only to pas
Discord Pos Terms
tomm.
(This may be applied)
to only Neg terms,
m2 100
Transcribed Image Text:1. Prove the following polynomial is 0 (n²). Use algebraic manipulations.
P(n) = 5n -10 n³ + 20 n² + 50 n - 100
(a) Prove 0 (nª).
(b) Prove (n¹).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
