Calculate the area of the parametric surface given by: r(u, v) = 2 sin u cos vi + 2 sin u sin vj + 2 cos u k where the domain D is given by:

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Q: Let S be the parametric surface, parameterized by r(u, v) = e" cos vi + e" sin vj + uk, (u,v) E D =…

A: given S be the parametric surface, parametrized by  ru,v=eu cosv i^+eu sinv j^+u k^  here…

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Q: Match the parametrizations to the surfaces shown in the figures. Answer Bank u cos (v) Ф (и, v) —D|…

A: (a) ∅(u,v)=(21+u2)cosv, 21+u2sinv,u) Consider x=21+u2cosv, y=21+u2 sinv and z=u…

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Q: Match the parametrizations to the surfaces shown in the figures. Þ(u, v) = v 4² u cos(v) (u, U) = |…

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Q: Consider the following surface parametrization. x = 3 cos(0) sin(4), y = 2 sin(0) sin(4), cos(4)…

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A: Given the Polar coordinates      r=14 and θ=π4 Find the Cartesian coordinate y.

Q: Let f(x,y) =sin(xy-x-3y+3) a) Find the domain and range of f b) Factor the argument on the sin…

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