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

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
icon
Related questions
Question
Pls fast and correct
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 | =
%.
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
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning