Consider the surface x2 + y2 − 2xy − x + 4y − z2 + 4 = 0 at the point Po (2, −2, 5). Determine the following: (a) the general equation of the tangent plane to the surface at Po (b) the parametric equations of the normal line to the surface at Po

Consider the surface x2 + y2 − 2xy − x + 4y − z2 + 4 = 0 at the point Po (2, −2, 5). Determine the following: (a) the general equation of the tangent plane to the surface at Po (b) the parametric equations of the normal line to the surface at Po

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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Question

Consider the surface x² + y² − 2xy − x + 4y − z² + 4 = 0 at the point Po (2, −2, 5).

Determine the following:
(a) the general equation of the tangent plane to the surface at P_o
(b) the parametric equations of the normal line to the surface at P_o

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