5) hi sir/ma’am 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 + z? = 27 closest to the point(-1,–1,–1), and (0,0,-V27) is the point that is farthest.II(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.%3D(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

Consider the provided question, minimize and maximize, fx,y,z=x+12+y+12+z+12…

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

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 17EQ

See similar textbooks