Find an equation of the tangent plane to the surface f(x, y, z) = x 2 + y 2 + xy − yz − xz + z 2 − 2 = 0 at the point (−1, 1, 1).

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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Find an equation of the tangent plane to the surface f(x, y, z) = x
2 + y
2 + xy − yz − xz +
z
2 − 2 = 0 at the point (−1, 1, 1).

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