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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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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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