11. At what point(s) of the curve xy = (1 – x – y)? is the tangent line parallel to the x-axis? Give also an equation of the normal line to the curve at this point.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Topic: Linear Approximation and Differential

11. At what point(s) of the curve xy =
= (1 – x – y)² is the tangent line parallel to the x-axis? Give
also an equation of the normal line to the curve at this point.
Transcribed Image Text:11. At what point(s) of the curve xy = = (1 – x – y)² is the tangent line parallel to the x-axis? Give also an equation of the normal line to the curve at this point.
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