4. Show that if ki = (X; – X)/[Σ(X; – Χ)2], then (a) Σ ki = 0; = (b) Σk? = 1/[Σ(X - X)]; (c) Σk;(X; - X) = Σk;X; = 1. =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4. Show that if ki = (X; - X)/[Σ(Χ; – X)2], then
(a) Σ ki = 0;
=
(b) Σk = 1/[Σ(X, − x)2];
(c) Σk;(X; - X) = Σk;X; = 1.
=
Transcribed Image Text:4. Show that if ki = (X; - X)/[Σ(Χ; – X)2], then (a) Σ ki = 0; = (b) Σk = 1/[Σ(X, − x)2]; (c) Σk;(X; - X) = Σk;X; = 1. =
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