Show that the sum of the squares of the distances from a point P (c, d) to n fixed points (a 1 , b 1 ), ,(a n , b n ) is minimized when c is the average of the x coordinates a i and d is the average of the y coordinates b i ...

First we must form the sum of the squares of the distances from a point Pcd to ...

Show that the sum of the squares of the distances from a point P = (c, d)

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Show that the sum of the squares of the distances from a point P = (c, d) to n fixed points (a₁, b₁), . . . ,(a_n, b_n) is minimized when c is the average of the x-coordinates a_iand d is the average of the y-coordinates b_i.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 16, 2024 10:00 AM

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Show that the sum of the squares of the distances from a point P = (c, d)

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Calculus

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