Norton Norton
  • 28-04-2024
  • Mathematics
College

Find the maximum and minimum values of [tex]f(x, y, z) = 3x - 3y + 8z[/tex] on the sphere [tex]x^2 + y^2 + z^2 = 82[/tex].

Answer :

barackodam barackodam
  • 27-04-2024

Answer:

The maximum point is

(3/4, 3/4, 8) = 4

The minimum point is

(-3/4, -3/4, -8) = -4

Step-by-step explanation:

See attachment for derivation

Answer Link

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