Find the equation for the tangent plane and the normal line at the point Po(3,1,3) on the surface x + 3y + 2z² = Using a coefficient of 1 for x, the equation for the tangent plane is Find the equations for the normal line. Let x = 3+ 6t. x=0, y=D z= (Type expressions using t as the variable.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Find the equation for the tangent plane and the normal line at the point P,(3,1,3) on the surface x + 3y + 2z = 30.
Using a coefficient of 1 for x, the equation for the tangent plane is
Find the equations for the normal line. Let x = 3+ 6t.
x=0, y=D, z=0
X =
(Type expressions using t as the variable.)
Transcribed Image Text:Find the equation for the tangent plane and the normal line at the point P,(3,1,3) on the surface x + 3y + 2z = 30. Using a coefficient of 1 for x, the equation for the tangent plane is Find the equations for the normal line. Let x = 3+ 6t. x=0, y=D, z=0 X = (Type expressions using t as the variable.)
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