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

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

Advanced Engineering Mathematics
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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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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