Answered: Consider the surface z = 1? – y?. Let…

Consider the surface z = 1? – y?. Let Tp denote the tangent plane at a point P on this surface. Find all points P such that Tp contains both of the points (1, 1, 1) and (0, 1, –1).

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

Consider the surface z = 1 – y. Let Tp denote the tangent plane at a point P on this surface.
Find all points P such that Tp contains both of the points (1, 1, 1) and (0, 1, –1).

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