4. Let f R³ → R be defined by f(x, y, z) = x³y³ + x¹z¹ — 100xyz - 1 6 8 4 Show that the zero set Z(f) is not compact.
4. Let f R³ → R be defined by f(x, y, z) = x³y³ + x¹z¹ — 100xyz - 1 6 8 4 Show that the zero set Z(f) is not compact.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 32E
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![4. Let ƒ : R³ → R be defined by
6.8
4.4
f(x, y, z) = x³y² + x¹z¹ - 100xyz - 1
Show that the zero set Z(f) is not compact.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe72e13b-12e8-4646-917c-376e7356872c%2F5a179549-d5a9-4bb8-bb06-16b960038bd8%2Fof3hus_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Let ƒ : R³ → R be defined by
6.8
4.4
f(x, y, z) = x³y² + x¹z¹ - 100xyz - 1
Show that the zero set Z(f) is not compact.
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