4. Consider the cone z = x² + y?. (a) Show that the tangent plane to this surface at any point (xo, Yo, zo) # (0, 0, 0) exists and passes through the origin. (b) Explain why the point (0,0,0) was excluded.
4. Consider the cone z = x² + y?. (a) Show that the tangent plane to this surface at any point (xo, Yo, zo) # (0, 0, 0) exists and passes through the origin. (b) Explain why the point (0,0,0) was excluded.
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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