(4) Consider the following set: S = {(x, y, z) E R | xy + yz + x = -2}. (a) Show that S is a surface. (b) Give a parametrisation of S such that (-1, 1, 0) lies in the image of S. (c) Compute the tangent plane to S at (-1, 1,0).
(4) Consider the following set: S = {(x, y, z) E R | xy + yz + x = -2}. (a) Show that S is a surface. (b) Give a parametrisation of S such that (-1, 1, 0) lies in the image of S. (c) Compute the tangent plane to S at (-1, 1,0).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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