Solution: Quadric surfaces Consider the following equations

Chapter 12, Problem 44E

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QUESTION:

Quadric surfaces  Consider the following equations of quadric surfaces.

(a) Find the intercepts with the three coordinate axes, when they exist.

(b) Find the equations of the xy-, xz-, and yz-traces, when they exist.

(c) Sketch a graph of the surface.

Elliptic paraboloids

\(2 y-\frac{x^{2}}{8}-\frac{z^{2}}{18}=0\)

Questions & Answers

QUESTION:

Quadric surfaces  Consider the following equations of quadric surfaces.

(a) Find the intercepts with the three coordinate axes, when they exist.

(b) Find the equations of the xy-, xz-, and yz-traces, when they exist.

(c) Sketch a graph of the surface.

Elliptic paraboloids

\(2 y-\frac{x^{2}}{8}-\frac{z^{2}}{18}=0\)

ANSWER:

Solution 44EStep 1 of 4:Elliptic paraboloids

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