Minimize and Maximize f(x, y, z) = (x + 1)² + (y + 1)² + (z + 1)? subject to the constraint x2 + y² + z² – 27 = 0 to get (A) (3,3,3) is the point on f(x,y, z) = (x + 1)² + y + 1)² + (z + 1)² farthest from (0,0, v27), and (-3,–3,–3) is the point that is closest %3D (B) (0,0, v27) is the point on the sphere x2 + y2 + z² = 27 closest to the point (-1,–1,–1), and (0,0,-V27) is the point that is farthest. %3D (C) (3,3,3) is the point on f(x, y, z) = (x + 1)² + ()y + 1)² + (z + 1)²farthest from (0,0, v27), and (-3,–3,–3) is the point that is closest. (D) (3,3,3) is the point on the sphere x2 + y2 + z² = 27 closest to (-1,-1,-1), and (-3,-3,-3) is the point that is farthest. (E) (3,3,3) is the point on the sphere x2 +y2 +z² = 27 farthest from the point (-1,–1,–1), and (-3,-3,-3) is the point that is closest. %3D
Minimize and Maximize f(x, y, z) = (x + 1)² + (y + 1)² + (z + 1)? subject to the constraint x2 + y² + z² – 27 = 0 to get (A) (3,3,3) is the point on f(x,y, z) = (x + 1)² + y + 1)² + (z + 1)² farthest from (0,0, v27), and (-3,–3,–3) is the point that is closest %3D (B) (0,0, v27) is the point on the sphere x2 + y2 + z² = 27 closest to the point (-1,–1,–1), and (0,0,-V27) is the point that is farthest. %3D (C) (3,3,3) is the point on f(x, y, z) = (x + 1)² + ()y + 1)² + (z + 1)²farthest from (0,0, v27), and (-3,–3,–3) is the point that is closest. (D) (3,3,3) is the point on the sphere x2 + y2 + z² = 27 closest to (-1,-1,-1), and (-3,-3,-3) is the point that is farthest. (E) (3,3,3) is the point on the sphere x2 +y2 +z² = 27 farthest from the point (-1,–1,–1), and (-3,-3,-3) is the point that is closest. %3D
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 46E
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