Calculate (mathbf{T}_{u}, mathbf{T}_{v}), and (mathbf{N}(u, v)) for the parametrized surface at the given point. Then find the

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Calculate \(\mathbf{T}_{u}, \mathbf{T}_{v}\), and \(\mathbf{N}(u, v)\) for the parametrized surface at the given point. Then find the equation of the tangent plane to the surface at that point.

Φ(θ,ϕ)=(cosθsinϕ,sinθsinϕ,cosϕ);θ=π2,ϕ=π4Φ(θ,ϕ)=(cosθsinϕ,sinθsinϕ,cosϕ);θ=π2,ϕ=π4

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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