Given a function g(x, y) defined implicitly by the equation z*y* + sin (x² – y²) = tan-'(xz). (1) dz (a) Find dz and Do NOT oversimplify. ду (b) Let S be the graph of (1). Find the symmetric form of the normal line to S at the point (–1, 1,0).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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2. Given a function g(x, y) defined implicitly by the equation
z* y® + sin (x? – y?)
= tan- (xz).
(1)
dz
(a) Find
dz
and
Do NOT oversimplify.
dy
(b) Let S be the graph of (1). Find the symmetric form of the normal line to S at the point (-1,1,0).
Transcribed Image Text:2. Given a function g(x, y) defined implicitly by the equation z* y® + sin (x? – y?) = tan- (xz). (1) dz (a) Find dz and Do NOT oversimplify. dy (b) Let S be the graph of (1). Find the symmetric form of the normal line to S at the point (-1,1,0).
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