y,z) = 2x^2 + 2y^2 + 4z^2 - 8z,   find all points on f(x, y, z) = 16 where the tangent plane is perpendicular to the line given by

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.
icon
Related questions
Question

For f(x,y,z) = 2x^2 + 2y^2 + 4z^2 - 8z,  

find all points on f(x, y, z) = 16 where the tangent plane is perpendicular to the line given by
r(t) = (2+2t,4+2t, 2t).

Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage