In Exercises 71 and 72, show that the tangent plane to the quadric surface at the point
Chapter 13, Problem 71(choose chapter or problem)
In Exercises 71 and 72, show that the tangent plane to the quadric surface at the point can be written in the given form.
\(\text { Ellipsoid: } \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}+\frac{z^{2}}{c^{2}}=1\)
\(\text { Plane: } \frac{x_{0} x}{a^{2}}+\frac{y_{0} y}{b^{2}}+\frac{z_{0} z}{c^{2}}=1\)
Text Transcription:
Ellipsoid:fracx^2a^2+fracy^2b^2+fracz^2c^2=1
Plane:fracx_0xa^2+fracy_0yb^2+fracz_0zc^2=1
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