Areaestimate = f(-2) + 4f(0) + f(2)) %3D S 2x3 + 3x2 – 7x +3 dx (a) Use this formula to estimate the area under your curve between -2 and 2. Compare the Simrson's estimation to the trapezoidal rule and the actual value. Comment on which method proauced a better estimate in your example. (b) Explain and suggest factors that would make one method better than the other. (c) How could you further improve the accuracy of your estimate? 2 /3

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
Do all questions
Area estimate =(f(-2) + 4f(0) + f(2))
L2x³ + 3x? - 7x + 3 dx
(a) Use this formula to estimate the area under your curve between -2 and 2. Compare the
Simnson's estimation to the trapezoidal rule and the actual value. Comment on which method
proauced a better estimate in your example.
(b) Explain and suggest factors that would make one method better than the other.
(c) How could you further improve the accuracy of your estimate?
Transcribed Image Text:Area estimate =(f(-2) + 4f(0) + f(2)) L2x³ + 3x? - 7x + 3 dx (a) Use this formula to estimate the area under your curve between -2 and 2. Compare the Simnson's estimation to the trapezoidal rule and the actual value. Comment on which method proauced a better estimate in your example. (b) Explain and suggest factors that would make one method better than the other. (c) How could you further improve the accuracy of your estimate?
Expert Solution
steps

Step by step

Solved in 6 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,