The cyclic rule is a sometimes useful identity that applies to the situation in which three variables; x, y, and z are related to one another by a function, z = z(x, y). The rule is: (az/ax)(ax/ay)(ay/az) = -1 (cyclic rule) Show that the cyclic rule holds for. x4 + 2y²+ (1/2)z = 12

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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The cyclic rule is a sometimes useful identity that applies to the situation in which three
variables; x, y, and z are related to one another by a function, z = z(x, y).
The rule is:
(az/ax)(ax/ay)(ay/əz) = -1
(cyclic rule)
Show that the cyclic rule holds for.
x² + 2y²+ (1/2)z = 12
Transcribed Image Text:The cyclic rule is a sometimes useful identity that applies to the situation in which three variables; x, y, and z are related to one another by a function, z = z(x, y). The rule is: (az/ax)(ax/ay)(ay/əz) = -1 (cyclic rule) Show that the cyclic rule holds for. x² + 2y²+ (1/2)z = 12
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