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
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.
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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).
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