12. (6 pts.) Find an equation of the tangent plane to the surface of $z = 2x^2 - y^2 + 5$ at the point $(2,3,4)$.
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First, we need to find the partial derivatives of the function with respect to x and y. $$ \frac{\partial z}{\partial x} = 4x \\ \frac{\partial z}{\partial y} = -2y $$ Show more…
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