4) Find the equation of the tangent plane to the surface r(u, v) = (u² − v²)i − (3uv)j + (4√u+v)k when u = 2 and v = -1. Graph the tangent plane to this surface at the point (3, 6, 4).

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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Please solve correctly in 30 minutes and get the thumbs up please show neat and clean work please write Q4 on the top and by hand solution needet
4) Find the equation of the tangent plane to the surface r(u, v) = (u² − v²)i − (3uv)j + (4√u+v)k
when u = 2 and v = -1.
Graph the tangent plane to this surface at the point (3, 6, 4).
Transcribed Image Text:4) Find the equation of the tangent plane to the surface r(u, v) = (u² − v²)i − (3uv)j + (4√u+v)k when u = 2 and v = -1. Graph the tangent plane to this surface at the point (3, 6, 4).
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