(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).

Answered: Image /qna-images/answer/73b8a71e-8084-4f90-a0c8-c677692a7b0c.jpg

Answered: (4) Consider the following set: S =…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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(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).