Sketch the level curves when z = 5 and z = 8 for the function z = z + y? + 4. Hence, sketch the 3D graph of the function.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 58E
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a) Determine the domain and range of the function
z = 4 - V9 - (2+ y²).
b) Sketch the level curves when z = 5 and z = 8 for the function
z = r² + y² + 4.
Hence, sketch the 3D graph of the function.
Transcribed Image Text:a) Determine the domain and range of the function z = 4 - V9 - (2+ y²). b) Sketch the level curves when z = 5 and z = 8 for the function z = r² + y² + 4. Hence, sketch the 3D graph of the function.
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