5.35 By using the algebraic method of "completing the square" and setting the quadratic expression in the bivariate Gaussian density to a constant, show that the contours of the density can be written in the form (y₁ - α₁)² (y2 - α2)² + 3² = 2²

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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5.35 By using the algebraic method of "completing the square" and setting the
quadratic expression in the bivariate Gaussian density to a constant, show that
the contours of the density can be written in the form
7²
αι
(y₁ - α₁)²
3²
+
(y2 - 02)²
3232
Transcribed Image Text:5.35 By using the algebraic method of "completing the square" and setting the quadratic expression in the bivariate Gaussian density to a constant, show that the contours of the density can be written in the form 7² αι (y₁ - α₁)² 3² + (y2 - 02)² 3232
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