Consider the surface z = ry +x – y. (a) Graph the surface using technology. Make a rough sketch of it. (No need for tables.) (b) Find the tangent to this surface at (1, –3, 1). (c) Find the normal line to the tangent (1, –3, 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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3.
Consider the surface z = ry + – y.
(a) Graph the surface using technology. Make a rough sketch of it. (No need for
tables.)
(b) Find the tangent to this surface at (1, –3, 1).
(c) Find the normal line to the tangent (1, –3, 1).
Transcribed Image Text:3. Consider the surface z = ry + – y. (a) Graph the surface using technology. Make a rough sketch of it. (No need for tables.) (b) Find the tangent to this surface at (1, –3, 1). (c) Find the normal line to the tangent (1, –3, 1).
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