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Sketch the surface 1≤z≤ √9-x² - y² 1≤z≤√9-x² - y² and_x² + y² ≤1

Sketch the surface 1≤z≤ √9-x² - y² 1≤z≤√9-x² - y² and_x² + y² ≤1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Sketch the surface 1≤z≤√9_x² - y² 1≤z≤√9-x² - y² and_x² + y² <1
Transcribed Image Text:Sketch the surface 1≤z≤√9_x² - y² 1≤z≤√9-x² - y² and_x² + y² <1
Expert Solution
Step 1

Given is the surface surface

1≤z≤9-x2-y2 and x2+y2≤1

The objective is to sketch this surface.

 

 

 

The surface z=r2-x2-y2 represents a hemisphere on positive z axis with radius r.

The standard form of the equation of a circle centered at (0,0) is x2+y2=r2, where r is the radius of the circle.

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