3. Plot the function x+1 f(r) = 1+ 12r² * in the interval -1 SIS 1. Then fit a line (o = co + Cir) to it in the mentioned interval and show the line in your plot. Comment what happens if you try to fit a second degree polynomial (ó = co+cr+c2x*) to it based on what we have discussed in the class, i.e. instead of base functions 1, r, and r what would you choose.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3. Plot the function
I +1
f(r) =
1+ 12r2
in the interval -1 < x < 1. Then fit a line (o = co + c1r) to it in the mentioned
interval and show the line in your plot.
Comment what happens if you try to fit a second degree polynomial (ø = co+cr+c2r²)
to it based on what we have discussed in the class, i.e. instead of base functions 1, r,
and r? what would you choose.
Transcribed Image Text:3. Plot the function I +1 f(r) = 1+ 12r2 in the interval -1 < x < 1. Then fit a line (o = co + c1r) to it in the mentioned interval and show the line in your plot. Comment what happens if you try to fit a second degree polynomial (ø = co+cr+c2r²) to it based on what we have discussed in the class, i.e. instead of base functions 1, r, and r? what would you choose.
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