Find an equation of the tangent plane to the given parametric surface at the specified point. r(u, v) = uv i + u sin(v) j + v cos(u) k; u = 0, v = t

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 34E
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Transcribed Image Text:2 1 1 -1.0 -0,5 0.0 0.5 1.0 -1.0 -0.5 0.0 0.5 1.0 y 3 3 2. 1 1.0 -0.5 0.0 0.5 1.0 y -1.0 0.5 0.0 0.5 1.0 y السلليد
Find an equation of the tangent plane to the given parametric surface at the specified point.
r(u, v) = uv i + u sin(v) j + v cos(u) k; u = 0, v = TI
Graph the surface and the tangent plane.
-5
4
2
1
1.0 0.5 0.0
0.5 1.0
-1.0 -0,5 0.0
0.5
1.0
y
Transcribed Image Text:Find an equation of the tangent plane to the given parametric surface at the specified point. r(u, v) = uv i + u sin(v) j + v cos(u) k; u = 0, v = TI Graph the surface and the tangent plane. -5 4 2 1 1.0 0.5 0.0 0.5 1.0 -1.0 -0,5 0.0 0.5 1.0 y
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