Calculate Tu, Tu, and n(u, v) for the parametrized surface at the given point. Then find the equation of the tangent plane to the surface at that point. Þ(u, v) = (2u + v, u — 4v, 10u); u = 5, v = 9 Tu = < 2,1,10 > , T, = <1,-4,0> , n(u, v) = , n(u, v) = < 40,8,-9> The tangent plane: 45x+10y = 9z

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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Entered
Tu
<2,1,10>
<1,-4,0>
=
<40,8,-9>
45*x+10*y
<2,1,10> ,T,
Answer Preview
At least one of the answers above is NOT correct.
The tangent plane:
45x+10y = 9z
(2, 1, 10)
=
(1,-4,0)
(40, 8, -9)
45x+10y
Calculate Tu, Tv, and n(u, v) for the parametrized surface at the given point.
Then find the equation of the tangent plane to the surface at that point.
Þ(u, v) = (2u + v, u − 4v, 10u);
U = 5, V =
Result
<1,-4,0>, n(u, v) :
=
correct
correct
incorrect
incorrect
< 40,8,-9>
Message
The second coordinate is incorrect
Transcribed Image Text:Entered Tu <2,1,10> <1,-4,0> = <40,8,-9> 45*x+10*y <2,1,10> ,T, Answer Preview At least one of the answers above is NOT correct. The tangent plane: 45x+10y = 9z (2, 1, 10) = (1,-4,0) (40, 8, -9) 45x+10y Calculate Tu, Tv, and n(u, v) for the parametrized surface at the given point. Then find the equation of the tangent plane to the surface at that point. Þ(u, v) = (2u + v, u − 4v, 10u); U = 5, V = Result <1,-4,0>, n(u, v) : = correct correct incorrect incorrect < 40,8,-9> Message The second coordinate is incorrect
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