Find the equation for the tangent plane and the normal line at the point Po(1,2,1) on the surface 4x² + y² + 2z² = 10. Using a coefficient of 2 for x, the equation for the tangent plane is. Find the equations for the normal line. Let x = 1 + 8t. X = =, y=, 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 Po(1,2,1) on the surface 4x² + y² + 2z² = 10.
Using a coefficient of 2 for x, the equation for the tangent plane is
Find the equations for the normal line. Let x = 1 + 8t.
X
x=☐, y=₁ z=0
(Type expressions using t as the variable.)
Transcribed Image Text:Find the equation for the tangent plane and the normal line at the point Po(1,2,1) on the surface 4x² + y² + 2z² = 10. Using a coefficient of 2 for x, the equation for the tangent plane is Find the equations for the normal line. Let x = 1 + 8t. X x=☐, y=₁ z=0 (Type expressions using t as the variable.)
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