let f(x)=ex for 0 < x < 1 Approximate f(0.25) using linear interpolation with x0=0 and x1=0.5 . Approximate f(0.75) using linear interpolation with x0=0.5 and x1=1 Approximatef(0.25) and f(0.75) using quadratic interpolation with x0=0 and x1=0.5 and x2=1 Which is the better approximation??
let f(x)=ex for 0 < x < 1 Approximate f(0.25) using linear interpolation with x0=0 and x1=0.5 . Approximate f(0.75) using linear interpolation with x0=0.5 and x1=1 Approximatef(0.25) and f(0.75) using quadratic interpolation with x0=0 and x1=0.5 and x2=1 Which is the better approximation??
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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let f(x)=ex for 0 < x < 1
Approximate f(0.25) using linear interpolation with x0=0 and x1=0.5 .
Approximate f(0.75) using linear interpolation with x0=0.5 and x1=1
Approximatef(0.25) and f(0.75) using quadratic interpolation with x0=0 and x1=0.5 and x2=1
Which is the better approximation??
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