(a) Find equation of the tangent plane and normal line ta the sphere x? +y? + z = 25 atthe point (-3,0,4).(b) Find the point that makes the tangent plane to the surface z = x - xy + y? - 2x + 4yhorizontal.

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Answered: (a) Find equation of the tangent plane…

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(a) Find equation of the tangent plane and normal line to the sphere x + y +z = 25 at the point (-3,0,4).

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

(a) Find equation of the tangent plane and normal line ta the sphere x? +y? + z = 25 at
the point (-3,0,4).
(b) Find the point that makes the tangent plane to the surface z = x - xy + y? - 2x + 4y
horizontal.

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