B 4. z (x, y) is defined implicitly by the relation z²x - 2yz +xy² = 4. Find za, zy and Zaz in terms of a, y and z. Show that at x = y = 1, z = 3 is a value of z. Is this the only possible value of z at x = y = 1? Find also the numerical values of Ze, zy and za at x=y=1, z = 3.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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B 4. z (x, y) is defined implicitly by the relation
z²x - 2yz +xy² = 4.
Find Zz, zy and Zzz in terms of a, y and z. Show that at x = y = 1, z = 3 is a value of z. Is this
the only possible value of z at x=y=1?
Find also the numerical values of Zz, zy and Zax at x = y = 1, z = 3.
Transcribed Image Text:B 4. z (x, y) is defined implicitly by the relation z²x - 2yz +xy² = 4. Find Zz, zy and Zzz in terms of a, y and z. Show that at x = y = 1, z = 3 is a value of z. Is this the only possible value of z at x=y=1? Find also the numerical values of Zz, zy and Zax at x = y = 1, z = 3.
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z squared x space minus space 2 y z space plus space x y squared space equals space 4

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