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.

$\Phi(u, v)=(2 u+v, u-4 v, 3 u) ; \quad u=1, \quad v=4$

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