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Problem 3 Let $\frac{x^2}{a^2} + \frac{y^2}{b^2} - \frac{z^2}{c^2} = 1$. (1) 1 be a hyperboloid of one sheet. a) Find the equation of the tangent plane at a generic point $(x_0, y_0, z_0)$ on the hyperboloid. Show that your equation is equivalent to the following one: $\frac{xx_0}{a^2} + \frac{yy_0}{b^2} - \frac{zz_0}{c^2} = 1$. (2)

          Problem 3
Let
$\frac{x^2}{a^2} + \frac{y^2}{b^2} - \frac{z^2}{c^2} = 1$.
(1)
1
be a hyperboloid of one sheet.
a) Find the equation of the tangent plane at a generic point $(x_0, y_0, z_0)$ on the hyperboloid. Show that
your equation is equivalent to the following one:
$\frac{xx_0}{a^2} + \frac{yy_0}{b^2} - \frac{zz_0}{c^2} = 1$.
(2)

Problem 3
Let
(x^2)/(a^2) + (y^2)/(b^2) - (z^2)/(c^2) = 1.
(1)
1
be a hyperboloid of one sheet.
a) Find the equation of the tangent plane at a generic point (x0, y0, z0) on the hyperboloid. Show that
your equation is equivalent to the following one:
(xx0)/(a^2) + (yy0)/(b^2) - (zz0)/(c^2) = 1.
(2)

Added by Gloria M.

Calculus: Early Transcendentals

James Stewart 8th Edition

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be a hyperboloid of one sheet. a) Find the equation of the tangent plane at a generic point (x_(0),y_(0),z_(0)) on the hyperboloid. Show that your equation is equivalent to the following one: (x_(0))/(a^(2))+(yy_(0))/(b^(2))-(zz_(0))/(c^(2))=1 Problem 3 Let x^2 y^2 z^2 + :1 a^2 b^2 c^2 (1) be a hyperboloid of one sheet. a) Find the equation of the tangent plane at a generic point (o, Yo,zo) on the hyperboloid. Show that your equation is equivalent to the following one: TTO YYo zZo =1. a^2 b^2 c^2 (2)