1. Find the domain and range for the function z = f(x, y) where f(x, y) In ((4 – x² – y²)(x² + y² – 1)). 2. Draw the level surface of the function w = g(x, y, z) for w = 1 where g(x, y, z) = x² + y² – 2y – z2 + 4z.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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1. Find the domain and range for the function z = f(x, y) where
f(x, y)
In ((4 – a? – y²)(x² + y² – 1)).
2. Draw the level surface of the function w =
g(x, y, z) for w = 1 where
g(x, y, z) = x² + y² – 2y – 22 + 4z.
Transcribed Image Text:1. Find the domain and range for the function z = f(x, y) where f(x, y) In ((4 – a? – y²)(x² + y² – 1)). 2. Draw the level surface of the function w = g(x, y, z) for w = 1 where g(x, y, z) = x² + y² – 2y – 22 + 4z.
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