Consider the surface z = ry +x – y. (a) Graph the surface using technology. Make a rough sketch of it. (No need for tables.) (b) Find the tangent to this surface at (1, –3, 1). (c) Find the normal line to the tangent (1, –3, 1).

Consider the surface z = ry +x – y. (a) Graph the surface using technology. Make a rough sketch of it. (No need for tables.) (b) Find the tangent to this surface at (1, –3, 1). (c) Find the normal line to the tangent (1, –3, 1).

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

Need help on parts b and c

3.
Consider the surface z = ry + – y.
(a) Graph the surface using technology. Make a rough sketch of it. (No need for
tables.)
(b) Find the tangent to this surface at (1, –3, 1).
(c) Find the normal line to the tangent (1, –3, 1).

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