Determine the length of an Arche in the form y=x(3-0.1x) which extremities have for axis x=0 and x=30 by: The trapeze method The Simpson method   We will divide the intervals [o, 30] into 10000 intervals of the same length. Give the answers to nearest 10-9   . To remember: the length (L)of an arc of a curve equation y=f(x), which extremities have for axis x=a and x=b, is given by     Determine the error in the trapeze method

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
icon
Concept explainers
Question

Determine the length of an Arche in the form y=x(3-0.1x) which extremities have for axis x=0 and x=30 by:

  1. The trapeze method
  2. The Simpson method

 

We will divide the intervals [o, 30] into 10000 intervals of the same length. Give the answers to nearest 10-9   .

To remember: the length (L)of an arc of a curve equation y=f(x), which extremities have for axis x=a and x=b, is given by

 

 

Determine the error in the trapeze method

The error in the trapeze method is given by.

Expert Solution
steps

Step by step

Solved in 5 steps with 23 images

Blurred answer
Knowledge Booster
Application of Differentiation
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.
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,