Find the lengths of the major and minor axes and the coordinates of the foci of the
Chapter 11, Problem 41(choose chapter or problem)
In Exercises 41 and 42, analyze the trace when the surface
\(z=\frac{1}{2} x^{2}+\frac{1}{4} y^{2}\)
is intersected by the indicated planes.
Find the lengths of the major and minor axes and the coordinates of the foci of the ellipse generated when the surface is intersected by the planes given by
(a) z = 2 and
(b) z = 8.
Text Transcription:
z=frac 1 2 x^2+frac 1 4 y^2
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