Find a point on the ellipsoid x2 + 4y2 + z2 = 9where the tangent plane is perpendicular to the line with parametric equations x = 1 − 4t, y = 4 + 8t, and z = 2 − 2t. (x, y, z) = ( ) (smaller x-value)(x, y, z) = ( ) (larger x-value)

Find a point on the ellipsoid x2 + 4y2 + z2 = 9where the tangent plane is perpendicular to the line with parametric equations x = 1 − 4t, y = 4 + 8t, and z = 2 − 2t. (x, y, z) = ( ) (smaller x-value)(x, y, z) = ( ) (larger x-value)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?

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Question

Find a point on the ellipsoid
x2 + 4y2 + z2 = 9
where the tangent plane is perpendicular to the line with parametric equations
x = 1 − 4t, y = 4 + 8t, and z = 2 − 2t.
(x, y, z) = ( ) (smaller x-value)
(x, y, z) = ( ) (larger x-value)

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