Given: cylinder S in R^3 with equation x = z^2 + 2 (a) Sketch the graph of S in R^3. Indicate proper rulings. (b) Let C be the curve in the xz-plane whose equation is the same as that of S. Find an equation of the surface of revolution generated by revolving C about the z-axis, and sketch its graph.

Given: cylinder S in R^3 with equation x = z^2 + 2 (a) Sketch the graph of S in R^3. Indicate proper rulings. (b) Let C be the curve in the xz-plane whose equation is the same as that of S. Find an equation of the surface of revolution generated by revolving C about the z-axis, and sketch its graph.

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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