approximate f'(2.4) with h = 1,0.5,0.25,.. You cannot use the exact value of f' (2.4) to determine the answer. The step sizeh =. it is enough to have at least two correct significant figures in the approximation of f'(x). The corresponding approximation is
approximate f'(2.4) with h = 1,0.5,0.25,.. You cannot use the exact value of f' (2.4) to determine the answer. The step sizeh =. it is enough to have at least two correct significant figures in the approximation of f'(x). The corresponding approximation is
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Pls fast and correct
Transcribed Image Text:Consider the polynomial
f (x) = 3-5x – x3.
%3D
Using the forward-divided difference
approximation for the first derivative with
step size h = 2, we obtain f' (2.4) z - 40.68.
Divide the step size in half successively until
you get a step size small enough to have an
approximation of f' (x) correct to at least
two significant figures. That is, you have to
approximate f'(2.4) with h = 1,0.5,0.25,.
%3D
You cannot use the exact value of f' (2.4) to
determine the answer.
The step sizeh =
%3D
it is enough to have at least two correct
significant figures in the approximation of
f(x). The corresponding approximation is
f(2.4) =
and the approximate percent relative
absolute error is | ɛa | =
%.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
