2) Let z = 4x²+y² be a quadric surface. a) Find the equation of the tangent plane to the surface at (1, 1, 5). b) Find the equation of the line that is perpendicular to the surface at (1, 1,5).
2) Let z = 4x²+y² be a quadric surface. a) Find the equation of the tangent plane to the surface at (1, 1, 5). b) Find the equation of the line that is perpendicular to the surface at (1, 1,5).
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
Question
Transcribed Image Text:2) Let z = 4x²+y² be a quadric surface.
a) Find the equation of the tangent plane to the surface at (1, 1, 5).
b) Find the equation of the line that is perpendicular to the surface at (1, 1,5).
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