Find the tangentplane at the point(1,-1,1) of the surfacef(x,y,z)%3Dx^2y+y^2z+z^2x.%3D

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Find the tangent plane at the point (1,-1,1) of the surface f(x,y,z)= x^2y+y^2z+z^2x. %3D

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

Find the tangent
plane at the point
(1,-1,1) of the surface
f(x,y,z)%3D
x^2y+y^2z+z^2x.
%3D

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