Use Lagrange multipliers to find the points on the given cone that are closest to the following point. z² = x² + y²; (2, 4, 0) (x, y, z) = (x, y, z) = 1,2,√5 0,0,0 ) (smaller z-value) (larger z-value)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Use Lagrange multipliers to find the points on the given cone that are closest to the following point.
z² = x² + y²;
(2, 4, 0)
(x, y, z) = (1,2,√5
(x, y, z) = (0,0,0
X
(smaller z-value)
) (larger z-value)
Transcribed Image Text:Use Lagrange multipliers to find the points on the given cone that are closest to the following point. z² = x² + y²; (2, 4, 0) (x, y, z) = (1,2,√5 (x, y, z) = (0,0,0 X (smaller z-value) ) (larger z-value)
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