Question: 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

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.

$Φ (θ, ϕ) = (\cos θ \sin ϕ, \sin θ \sin ϕ, \cos ϕ); θ = \frac{π}{2}, ϕ = \frac{π}{4}$

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