2 Find the equation for (a) the tangent plane and (b) the normal line at the point P (2,0,2) on the surface 2z - x² = ( = 0. (a) Using a coefficient of 2 for x, the equation for the tangent plane is 2x -z = 2. (b) Find the equations for the normal line. Let x = 2 - 4t. x = 2+2t y = 0 z = 2-1 (Type expressions using t as the variable.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
icon
Related questions
Question
100%

14.6 q2

Find the equation for (a) the tangent plane and (b) the normal line at the point P (2,0,2) on the surface 2z - x² = 0.
(a) Using a coefficient of 2 for x, the equation for the tangent plane is 2x -z = 2.
(b) Find the equations for the normal line. Let x = 2 - 4t.
x = 2+2t y = 0, z = 2-t
"
(Type expressions using t as the variable.)
Transcribed Image Text:Find the equation for (a) the tangent plane and (b) the normal line at the point P (2,0,2) on the surface 2z - x² = 0. (a) Using a coefficient of 2 for x, the equation for the tangent plane is 2x -z = 2. (b) Find the equations for the normal line. Let x = 2 - 4t. x = 2+2t y = 0, z = 2-t " (Type expressions using t as the variable.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage