For a data set {xi, yi ; i=1,n}, which of the following conditions must be satisfied by an interpolation polynomial f(x) ? a. f(x=xi)=xi b. f(x=xi)=yi O c. f(x=xi)>yi O d. f(x=xi)=0 e. f(x=xi)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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For a data set {xi, yi ; i=1,n}, which of the following conditions must be satisfied by an interpolation polynomial f(x) ?
a. f(x=xi)=xi
b. f(x=xi)=yi
O c. f(x=xi)>yi
O d. f(x=xi)=0
e. f(x=xi)<yi
Transcribed Image Text:For a data set {xi, yi ; i=1,n}, which of the following conditions must be satisfied by an interpolation polynomial f(x) ? a. f(x=xi)=xi b. f(x=xi)=yi O c. f(x=xi)>yi O d. f(x=xi)=0 e. f(x=xi)<yi
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