If the gradient of f is vf = zj - 2yi - 2xzk and the point P = (10, 3, 4) lies on the level surface f(x, y, z) = 0, find an equation for the tangent plane to the surface at the point P. (182 + 2y + 8x) 19 2=

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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Not sure why my answer is wrong. Answer needs to be in terms of z

If the gradient of f is vƒ = zj - 2yi - 2xzk and the point P = (10, 3, 4) lies on the level surface f(x, y, z) = 0, find an equation for the tangent plane to the surface at the point P.
(182 + 2y + 8x)
19
2=
Transcribed Image Text:If the gradient of f is vƒ = zj - 2yi - 2xzk and the point P = (10, 3, 4) lies on the level surface f(x, y, z) = 0, find an equation for the tangent plane to the surface at the point P. (182 + 2y + 8x) 19 2=
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