Show that the equation of the plane that is tangent to theellipsoid x2a2 + y2b2 +z2c2 =
Chapter 13, Problem 33(choose chapter or problem)
Show that the equation of the plane that is tangent to the ellipsoid
\(\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}+\frac{z^{2}}{c^{2}}=1\)
at \(\left(x_{0}, y_{0}, z_{0}\right)\) can be written in the form
\(\frac{x_{0} x}{a^{2}}+\frac{y_{0} y}{b^{2}}+\frac{z_{0} z}{c^{2}}=1\)
Equation Transcription:
Text Transcription:
x^2 /a^2 +y^2 /b^2 +z^2 /c^2 =1
(x_0, y_0, z_0)
x_0 x/a^2 +y_0 y/b^2 +z_0 z/c^2 =1
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