Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Let f(x) = 3x ex − cos x. Use the data in the following table and the formula for the second derivative “midpoint” to approximate the value of f''(1.3) with h = 0.1 and h = 0.01. Compare the results obtained with the exact value of f''(1.3).

Let f(x) = 3x ex − cos x. Use the data in the following table and the formula for the second derivative “midpoint” to approximate the value of f''(1.3) with h = 0.1 and h = 0.01. Compare the results obtained with the exact value of f''(1.3).

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

Let f(x) = 3x ex − cos x. Use the data in the following table and the formula for the second derivative “midpoint” to approximate the value of f''(1.3) with h = 0.1 and h = 0.01.

Compare the results obtained with the exact value of f''(1.3).

I 1.20 1.29 1.30 1.31 1.40 f(x) 11.59006 13.78176 14.04276 14.30741 16.86187
Transcribed Image Text:I 1.20 1.29 1.30 1.31 1.40 f(x) 11.59006 13.78176 14.04276 14.30741 16.86187
Expert Solution
steps

Step by step

Solved in 5 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
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,
SEE MORE TEXTBOOKS