Given points are CX,,8,).(X,%%),CXo,Y) in the plane, with X,

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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Given points are (X,Y,),(Xz,Y%),(X,) in the plane,
with X, <Xq < Xg. Use det V = (X2-x,)(Xg- X.) (Xg-X2)
to calculate that there is a second grade polynom
(with coefficients Co,4,CieR)
1.
pct) = Co+ C,t +Cit?
so that the graph of p goes through the points
(Xi,4;) , i=\, 2,9
i.e pcxi) = Y; ,i= ',2,)
V=
X2
X,,Xq, Xg € R
| Xg x5
Transcribed Image Text:Given points are (X,Y,),(Xz,Y%),(X,) in the plane, with X, <Xq < Xg. Use det V = (X2-x,)(Xg- X.) (Xg-X2) to calculate that there is a second grade polynom (with coefficients Co,4,CieR) 1. pct) = Co+ C,t +Cit? so that the graph of p goes through the points (Xi,4;) , i=\, 2,9 i.e pcxi) = Y; ,i= ',2,) V= X2 X,,Xq, Xg € R | Xg x5
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