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Identifying surfaces Identify and briefly
Chapter 12, Problem 65E(choose chapter or problem)
QUESTION:
Identifying surfaces Identify and briefly describe the surfaces defined by the following equations.
\(y=4 z^{2}-x^{2}\)
Questions & Answers
QUESTION:
Identifying surfaces Identify and briefly describe the surfaces defined by the following equations.
\(y=4 z^{2}-x^{2}\)
ANSWER:Solution 65E
Consider the surface,
y =
The objective is to identify and describe surface.
Because y is raised only to the first power, the surface is a paraboloid. The axis of the paraboloid is the y-axis.
Some convenient traces are as follows.