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.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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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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