Find the minimum and maximum points of on the sphere f(x, y, z) = 2x - 4y + 4z + 10. x² + y² + x² = 16 2 2 and the value of f at those points.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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I am struggling with this question .
Find the minimum and maximum points of
on the sphere
f(x, y, z) = 2x - 4y + 4z +10
x² + y² + x² = 16
2
2
and the value of f at those points.
Transcribed Image Text:Find the minimum and maximum points of on the sphere f(x, y, z) = 2x - 4y + 4z +10 x² + y² + x² = 16 2 2 and the value of f at those points.
b.
Maximum point:
(x, y, z)max=
ab
sin (a)
Maximum value:
f(x, y, z) max
ab
sin (a)
Show/hide
f
əx
əx
f
∞
Transcribed Image Text:b. Maximum point: (x, y, z)max= ab sin (a) Maximum value: f(x, y, z) max ab sin (a) Show/hide f əx əx f ∞
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