Let S be the surface with defining equation x + 12y + 12z + 8yz = 16. Find all points P = (a, b, c) on S for which OP is normal to S at P. There are six such points. Your justification must show both how you find these points, and that these are the only points satisfyir condition.
Let S be the surface with defining equation x + 12y + 12z + 8yz = 16. Find all points P = (a, b, c) on S for which OP is normal to S at P. There are six such points. Your justification must show both how you find these points, and that these are the only points satisfyir condition.
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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