To find the points on the cone z? = x² + y² that are closest to the point (5,2,0) , we need to solve these equations:

Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 71E: Find a system of two equations in two variables, x1 and x2, that has the solution set given by the...
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To find the points on the cone z2 = x² + y²
that are closest to the point (5,2,0) , we need
to solve these equations:
%3D
(A) x – 5 = 1x, y-2 = ly
z = -Az, z2 - x² – y² = 0
%3D
(B) x – 5 = 1x, y-2= ly
z = Az, z? – x² – y² = 0
%3D
(C) x – 5 = lx, y+ 2 = ly
z = -Az, z2 - x² – y² = 0
%3D
(D) x-5 = Ax, y– 2 = 1y
z = -Az, z2 +x² + y² = 0
%3D
(E) x +5 = Ax, y+2= ly
z = -Az, z² – x² – y² = 0
Transcribed Image Text:To find the points on the cone z2 = x² + y² that are closest to the point (5,2,0) , we need to solve these equations: %3D (A) x – 5 = 1x, y-2 = ly z = -Az, z2 - x² – y² = 0 %3D (B) x – 5 = 1x, y-2= ly z = Az, z? – x² – y² = 0 %3D (C) x – 5 = lx, y+ 2 = ly z = -Az, z2 - x² – y² = 0 %3D (D) x-5 = Ax, y– 2 = 1y z = -Az, z2 +x² + y² = 0 %3D (E) x +5 = Ax, y+2= ly z = -Az, z² – x² – y² = 0
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