Find the approximations TM and S, for n = 6 and 12. Then compute the corresponding errors ET, EM, and E. (Round your answers to six decimal places. You may wish to use the sum command on a computer algebra system.) [². 40x4 dx Tn M₁ n Sn 6 2 5/6 12 n ET EM Es 6 12 What observations can you make? In particular, what happens to the errors when n is doubled? , and Es is decreased by a factor of about As n is doubled, E, and EM are decreased by a factor of about X X

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
Find the approximations TM and S, for n = 6 and 12. Then compute the corresponding errors ET, EM, and E. (Round your answers to six decimal
places. You may wish to use the sum command on a computer algebra system.)
√²40x4
dx
n
Tn
Sn
6
2
5/6
12
n
ET
EM
Es
6
12
What observations can you make? In particular, what happens to the errors when n is doubled?
As n is doubled, E, and EM are decreased by a factor of about
and Es is decreased by a factor of about
Mn
Transcribed Image Text:Find the approximations TM and S, for n = 6 and 12. Then compute the corresponding errors ET, EM, and E. (Round your answers to six decimal places. You may wish to use the sum command on a computer algebra system.) √²40x4 dx n Tn Sn 6 2 5/6 12 n ET EM Es 6 12 What observations can you make? In particular, what happens to the errors when n is doubled? As n is doubled, E, and EM are decreased by a factor of about and Es is decreased by a factor of about Mn
Expert Solution
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,