Find the maximum and minimum of f(x, y) = 3x + y +2 subject to the constraints x² + 2y² = 38.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 29E
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5. Find the maximum and minimum of f(x, y) = 3x + y + 2 subject to the constraints x² + 2y² = 38.
6. Find the points on the ellipsoid x² + y²/4 + 22/9 = 1 that is closest to (1, 2, 3).
Transcribed Image Text:5. Find the maximum and minimum of f(x, y) = 3x + y + 2 subject to the constraints x² + 2y² = 38. 6. Find the points on the ellipsoid x² + y²/4 + 22/9 = 1 that is closest to (1, 2, 3).
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