Can you please provide me with a detailed problem and solution that helps me to understand the concept of surfaces and level curves that meets this criteria:  Please sketch the surface given by a function of two variables, together with its level curves or traces, while also identifying the pattern of the level curves or traces.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 51E
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Can you please provide me with a detailed problem and solution that helps me to understand the concept of surfaces and level curves that meets this criteria: 

Please sketch the surface given by a function of two variables, together with its level curves or traces, while also identifying the pattern of the level curves or traces. 

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