   Chapter 11.6, Problem 50E

Chapter
Section
Textbook Problem

# True or False? In Exercises 49-52, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.The generating curve for a surface of revolution is unique.

To determine

Whether the statement “The generating curve for a surface of revolution is unique” is true or false.

Explanation

The provided statement is falsebecause the generating curve for a surface of revolution is not unique.

For example,

The surface x2+z2=e2y can be formed by revolving either the graph of x=ey about the y-axis or the graph of z=ey about the y-axis

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