   Chapter 12.6, Problem 3E

Chapter
Section
Textbook Problem

# Describe and sketch the surface.x2 + z2 = 1

To determine

To describe and sketch: The surface of equation x2+z2=1.

Explanation

The equation x2+z2=1 represents {(x,y,z)|x2+z2=1} and does not involve y-coordinates. Hence, set the y-plane equation as y=k, where k is a constant.

Therefore, the resultant curve of equation x2+z2=1 forms a circular cylinder with infinitely many shifted duplicates of the same circular cylinder

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