Let S be the surface defined by the vector function R(u, v) = (e", eº, u² + v²), u = [0,2], v € [−1, 1]. 1. Find an equation of the tangent plane to S at the point corresponding to (u, v) = (1,0). 2. x Set up an iterated double integral equal to the mass of a curved lamina in the shape of S with density function 8(x, y, z) == Y

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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VIII. Let S be the surface defined by the vector function
R(u, v) = (e", eº, u² + v²), u € [0, 2], v € [1,1].
1.
Find an equation of the tangent plane to S at the point corresponding
to (u, v) = (1,0).
2.
Set up an iterated double integral equal to the mass of a curved
lamina in the shape of S with density function 8(x, y, z)
x
==.
Y
Transcribed Image Text:VIII. Let S be the surface defined by the vector function R(u, v) = (e", eº, u² + v²), u € [0, 2], v € [1,1]. 1. Find an equation of the tangent plane to S at the point corresponding to (u, v) = (1,0). 2. Set up an iterated double integral equal to the mass of a curved lamina in the shape of S with density function 8(x, y, z) x ==. Y
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