Consider the following table. X f(x) X f(x) 0.0 6.5 2.0 7.9 0.4 6.1 2.4 8.5 0.8 6.4 2.8 8.6 1.2 6.6 3.2 8.4 1.6 6.9 (a) Use the midpoint rule with n = 4 and the given data to estimate the value of the following integral. (Round your answer to two decimal places.) √3.² FX f(x) dx (b) If it is known that -5 ≤ f(x) ≤ 3 for all x, estimate the error involved in the approximation in part (a) using the smallest possible value for K according to this theorem. (Round your answer to four decimal places.) IEMI S

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
Consider the following table.
X
f(x) X f(x)
0.0 6.5 2.0 7.9
0.4
6.1 2.4 8.5
0.8 6.4 2.8 8.6
1.2
6.6
3.2
8.4
1.6
6.9
(a) Use the midpoint rule with n = 4 and the given data to estimate the value of the following integral. (Round your answer to two decimal places.)
√³.²,
f(x) dx
(b) If it is known that -5 ≤ f(x) ≤ 3 for all x, estimate the error involved in the approximation in part (a) using the smallest possible value for K according to this theorem. (Round your answer to four decimal places.)
IEMI ≤
Transcribed Image Text:Consider the following table. X f(x) X f(x) 0.0 6.5 2.0 7.9 0.4 6.1 2.4 8.5 0.8 6.4 2.8 8.6 1.2 6.6 3.2 8.4 1.6 6.9 (a) Use the midpoint rule with n = 4 and the given data to estimate the value of the following integral. (Round your answer to two decimal places.) √³.², f(x) dx (b) If it is known that -5 ≤ f(x) ≤ 3 for all x, estimate the error involved in the approximation in part (a) using the smallest possible value for K according to this theorem. (Round your answer to four decimal places.) IEMI ≤
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
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,