Given x+ y +z= 5 and Po(2,2,1), find the following. (a) Find the equation for the tangent plane at the point Po on the given surface. (b) Find the equations for the normal line at the point Po on the given surface.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 43E
Question
Given x+ y+z=5 and Po(2,2,1), find the following.
(a) Find the equation for the tangent plane at the point Po on the given surface.
(b) Find the equations for the normal line at the point Po on the given surface.
Transcribed Image Text:Given x+ y+z=5 and Po(2,2,1), find the following. (a) Find the equation for the tangent plane at the point Po on the given surface. (b) Find the equations for the normal line at the point Po on the given surface.
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