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
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
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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