Find an equation of the tangent plane to the given parametric surface at the specified point. r(u, v) = u² i + 6u sin vj + u cos v k; u = 1, v = 0 Graph the surface and the tangent plane.

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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Find an equation of the tangent plane to the given parametric surface at the specified point.
r(u, v) = u² i + 6u sin v j + u cos v k; u = 1, v = 0
Graph the surface and the tangent plane.
-5
y
0
5
2.0
1.5
1.0
X
0.5
1.0
0.5
0.0 z
-0.5
-1.0
0.0
1.0
2.0 1.5
1.0
0.5
1.0
0.5
0.0Z
-0.5
-1.0
0.0
1.0
Transcribed Image Text:Find an equation of the tangent plane to the given parametric surface at the specified point. r(u, v) = u² i + 6u sin v j + u cos v k; u = 1, v = 0 Graph the surface and the tangent plane. -5 y 0 5 2.0 1.5 1.0 X 0.5 1.0 0.5 0.0 z -0.5 -1.0 0.0 1.0 2.0 1.5 1.0 0.5 1.0 0.5 0.0Z -0.5 -1.0 0.0 1.0
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