Q2). Consider the function f(x)=sin(x) on the interval [0,1]. Use theorem (Error Bounds for Lagrange Interpolation, Equally Spaced Node) to determine the step size h so that. Linear Lagrange interpolation has an accuracy of 10°.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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Q2). Consider the function f(x)=sin(x) on the interval [0,1]. Use theorem (Error Bounds for Lagrange
Interpolation, Equally Spaced Node) to determine the step size h so that. Linear Lagrange interpolation has
an accuracy of 10°.
Q3). Construct a difference table (forward, backward & shift) formula for the data
X
0.2
0.4
0.6
0.8
f(x) 0.55
and use to find f(0.23) and f(0.995).
0.82
1.15
1.54
1.99
Transcribed Image Text:Q2). Consider the function f(x)=sin(x) on the interval [0,1]. Use theorem (Error Bounds for Lagrange Interpolation, Equally Spaced Node) to determine the step size h so that. Linear Lagrange interpolation has an accuracy of 10°. Q3). Construct a difference table (forward, backward & shift) formula for the data X 0.2 0.4 0.6 0.8 f(x) 0.55 and use to find f(0.23) and f(0.995). 0.82 1.15 1.54 1.99
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