Find the equation for (a) the tangent plane and (b) the normal line at the point P (6,0,6) on the surface 6z - 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 = 6 - 12t. x=0, y=0, z=0 (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 P (6,0,6) on the surface 6z - 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 = 6 - 12t.
x=☐, y=☐, z=0
(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 (6,0,6) on the surface 6z - 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 = 6 - 12t. x=☐, y=☐, z=0 (Type expressions using t as the variable.)
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