Ex.9. An ellipsoid y2, z2 = 1 is surrounded by a luminous a? b2 ring x = 0, y2 + z² = a². Show that the boundary of the shadow cast on the %3D plane z = 0 is given by y2 a? " b2 – c2 = a² – c2 a?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 34E
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Ex.9. An ellipsoid
y2
z2
= 1 is surrounded by a luminous
a2
62
c2
ring x = 0, y² + z² = a². Show that the boundary of the shadow cast on the
%3D
%3D
plane z = 0 is given by
y2
a²
a²
62-c2¯ a² – c2
Transcribed Image Text:Ex.9. An ellipsoid y2 z2 = 1 is surrounded by a luminous a2 62 c2 ring x = 0, y² + z² = a². Show that the boundary of the shadow cast on the %3D %3D plane z = 0 is given by y2 a² a² 62-c2¯ a² – c2
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