ind the maximum and minimum values of the function f(x, y, z) = ax + by + cz, where a, b, c are three positive numbers, on the unit sphere x^2 + y^2 + z^2 = 1.
ind the maximum and minimum values of the function f(x, y, z) = ax + by + cz, where a, b, c are three positive numbers, on the unit sphere x^2 + y^2 + z^2 = 1.
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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2) Find the maximum and minimum values of the function f(x, y, z) = ax + by + cz, where a, b, c are three positive numbers, on the unit sphere
x^2 + y^2 + z^2 = 1.
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