Consider the following equation of a quadric surface. 2 2 2 4 X 4 =Z a. Find the intercepts with the three coordinate axes, if they exist. b. Find the equations of the xy-, xz-, and yz-traces, if they exist. c. Sketch a graph of the surface.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Consider the following equation of a quadric surface.
2
У
2
X
4
=Z
a. Find the intercepts with the three coordinate axes, if they exist.
b. Find the equations of the xy-, xz-, and yz-traces, if they exist.
c. Sketch a graph of the surface.
Transcribed Image Text:Consider the following equation of a quadric surface. 2 У 2 X 4 =Z a. Find the intercepts with the three coordinate axes, if they exist. b. Find the equations of the xy-, xz-, and yz-traces, if they exist. c. Sketch a graph of the surface.
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