Find the equation for (a) the tangent plane and (b) the normal line at the point Po(8,0,8) on the surface 8z - x2 = 0. (a) Using a coefficient of 2 for x, the equation for the tangent plane is (b) Find the equations for the normal line. Let x = 8- 16t. X= y = (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 21E
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Find the equation for (a) the tangent plane and (b) the normal line at the point Po (8,0,8) on the surface 8z - x? = 0.
(a) Using a coefficient of 2 for x, the equation for the tangent plane is
(b) Find the equations for the normal line. Let x= 8 - 16t.
x=, y=
(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 Po (8,0,8) on the surface 8z - x? = 0. (a) Using a coefficient of 2 for x, the equation for the tangent plane is (b) Find the equations for the normal line. Let x= 8 - 16t. x=, y= (Type expressions using t as the variable.)
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