Determine the stepsize that can be used in the tabu- lation of f (x) = sin x in the interval [0, π/4] at equally spaced nodal points so that the truncation error of the quadratic interpolation is less than 5 x 10-8.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 21T
icon
Related questions
Question
Determine the stepsize that can be used in the tabu-
lation of f (x) = sin x in the interval [0, π/4] at equally spaced nodal
points so that the truncation error of the quadratic interpolation is
less than 5 x 10-8.
Transcribed Image Text:Determine the stepsize that can be used in the tabu- lation of f (x) = sin x in the interval [0, π/4] at equally spaced nodal points so that the truncation error of the quadratic interpolation is less than 5 x 10-8.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
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
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell