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
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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.
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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