Find the point closest to origin in R³ that is on both the planes 3x+y+z=5 and x+y+z=1.

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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Find the point closest to origin in R³ that is on both the planes 3x+y+z = 5 and 2 + y + z = 1.
Find the maximizer of f(x, y) = x² + y² subject to 2x + y ≤ 2, r≥0 and y ≥ 0.
Transcribed Image Text:Find the point closest to origin in R³ that is on both the planes 3x+y+z = 5 and 2 + y + z = 1. Find the maximizer of f(x, y) = x² + y² subject to 2x + y ≤ 2, r≥0 and y ≥ 0.
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