Writing a Tangent Plane In Exercises 61 and 62, show that the tangent plane to the
Chapter 13, Problem 61(choose chapter or problem)
In Exercises 61 and 62, show that the tangent plane to the quadric surface at the point \(\left(x_{0}, y_{0}, z_{0}\right)\) can be written in the given form.
Ellipsoid: \(\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}+\frac{z^{2}}{c^{2}}=1\)
Plane: \(\frac{x_{0} x}{a^{2}}+\frac{y_{0} y}{b^{2}}+\frac{z_{0} z}{c^{2}}=1\)
Text Transcription:
(x_0, y_0, z_0)
x^2 / a^2 + y^2 / b^2 + z^2 / c^2 = 1
x_{0} x / a^2 + y_{0} y / b^2 + z_{0} z / c^2 = 1
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