Consider the following data1.201.301.401.50f(x)11.59013.78114.04214.307b) Let f(x) =e" cos 3x,.No 0, = 0.3,12 0.6, n = 2Construct the second Lagrange polynomial for f(x) to approximate ƒ(0.25).

We have fx=e2xcos3x Now, x0=0x1=0.3x2=0.6 Therefore, fx0=e20cos30=1fx1=e20.3cos30.3=…

Answered: b) Let f(x) = e"cos 3x, No 0, x = 0.3,1…

b) Let f(x) = e"cos 3x, No 0, x = 0.3,1 =0.6, n = 2 %3D Construct the second Lagrange polynomial for f(x) to approximate f(0.25).

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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Question

Consider the following data
1.20
1.30
1.40
1.50
f(x)
11.590
13.781
14.042
14.307
b) Let f(x) =e" cos 3x,.
No 0, = 0.3,12 0.6, n = 2
Construct the second Lagrange polynomial for f(x) to approximate ƒ(0.25).

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