4142 Use the ellipsoid 4x2 + 9y2 + 18z2 = 72 in these exercises. (a) Find an equation of
Chapter 11, Problem 41(choose chapter or problem)
Use the ellipsoid \(4 x^{2}+9 y^{2}+18 z^{2}=72\) in these exercises.
(a) Find an equation of the elliptical trace in the plane \(z=\sqrt{2}\).
(b) Find the lengths of the major and minor axes of the ellipse in part (a).
(c) Find the coordinates of the foci of the ellipse in part (a).
(d) Describe the orientation of the focal axis of the ellipse in part (a) relative to the coordinate axes.
Equation Transcription:
Text Transcription:
4x^2+9y^2+18z^2=72
z=sqrt 2
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