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Let f (x, y, z) = ln (1+x³ + y* + z®) Find an equation for the tangent plane to the surface f (x, y, z) = In 2 at the point Po (1, –1, –1). Also find an equation of the normal line to the surface at this point.

Let f (x, y, z) = ln (1+x³ + y* + z®) Find an equation for the tangent plane to the surface f (x, y, z) = In 2 at the point Po (1, –1, –1). Also find an equation of the normal line to the surface at this point.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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Question 1 Let f (x, y, z) = In (1+x³ + y* + 2) Find an equation for the tangent plane to the surface f (x, y, z) = ln 2 at the point Po (1, –1, –1). Also find an equation of the normal line to the surface at this point. -
Transcribed Image Text:Question 1 Let f (x, y, z) = In (1+x³ + y* + 2) Find an equation for the tangent plane to the surface f (x, y, z) = ln 2 at the point Po (1, –1, –1). Also find an equation of the normal line to the surface at this point. -
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