7. Consider the surface S defined by the equation x³ +y2 – 3x – 2y – 4z = -2. Find all points P = (x, y, z) so that the vector v = (-18,4,8) is normal to the tangent plane to S at P.
7. Consider the surface S defined by the equation x³ +y2 – 3x – 2y – 4z = -2. Find all points P = (x, y, z) so that the vector v = (-18,4,8) is normal to the tangent plane to S at P.
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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