lane x + 2y + 4z = 0, find the

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Among all the points on the graph of z = 6 - x² - y² that lie above the plane x + 2y + 4z = 0, find the point farthest from the plane.
What are the values of x, y, and z for the point?
x=₁y=₁z=
(Type integers or simplified fractions.)
X
Z=
Transcribed Image Text:Among all the points on the graph of z = 6 - x² - y² that lie above the plane x + 2y + 4z = 0, find the point farthest from the plane. What are the values of x, y, and z for the point? x=₁y=₁z= (Type integers or simplified fractions.) X Z=
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