b) Why is the formula Q[\S; «, b} − }{/S (a) + } ƒ ( ª + b) + a,b] = 1 a f( 2 1 = f(b) (1) not a Newton-Cotes formula? (There is a concise answer. If you don't find it, please skip this task.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Need help with this question. Thank you :)

 

b) Why is the formula
1
a+b. 1
Q[ƒ; a,b] = —ƒ(a) + 1/{ƒ(ª +
s b ) + ²/ ƒ (6)
f(b)
2
not a Newton-Cotes formula? (There is a concise answer. If you don't
find it, please skip this task.)
Transcribed Image Text:b) Why is the formula 1 a+b. 1 Q[ƒ; a,b] = —ƒ(a) + 1/{ƒ(ª + s b ) + ²/ ƒ (6) f(b) 2 not a Newton-Cotes formula? (There is a concise answer. If you don't find it, please skip this task.)
Expert Solution
Step 1

To Explain: Why this formula Q[f;a,b]=12f(a)+13fa+b2+14f(b) is not a Newton-Cotes formula.

steps

Step by step

Solved in 2 steps

Blurred answer
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,