3. A curved lamina is in the shape of the surface defined by R(u, v) = (u cos v, u + v, u sin v), where (u, v) € [0, 1] × [−1, 2]. Find its mass if the density at any point (x, y, z) on the curved 1 lamina is 8(x, y, z) = √1+2x² + 2z²

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3. A curved lamina is in the shape of the surface defined by R(u, v) = (u cos v, u + v, u sin v),
where (u, v) € [0, 1] × [−1, 2]. Find its mass if the density at any point (x, y, z) on the curved
1
lamina is 8(x, y, z) =
√1+2x² + 2z²
Transcribed Image Text:3. A curved lamina is in the shape of the surface defined by R(u, v) = (u cos v, u + v, u sin v), where (u, v) € [0, 1] × [−1, 2]. Find its mass if the density at any point (x, y, z) on the curved 1 lamina is 8(x, y, z) = √1+2x² + 2z²
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