Find the extreme values of f(x,y,z) = x²yz + 1 on the intersection of the plane z = 3 with the sphere x² + y² +z² = 33. The minimum of f(x,y,z) on the domain is (Type an exact answer, using radicals as needed.) The maximum of f(x,y,z) on the domain is (Type an exact answer, using radicals as needed.)

Find the extreme values of f(x,y,z) = x²yz + 1 on the intersection of the plane z = 3 with the sphere x² + y² +z² = 33. The minimum of f(x,y,z) on the domain is (Type an exact answer, using radicals as needed.) The maximum of f(x,y,z) on the domain is (Type an exact answer, using radicals as needed.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 17RE

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