(See Steps) Consider the surfaces given by z=2(x^2+y^2) , 8z=17-(x^2+y^2) , Show that at every point of intersection their tangent planes are perpendicular
Question: Consider the surfaces given by
\[\begin{aligned} & z=2\left( {{x}^{2}}+{{y}^{2}} \right) \\ & 8z=17-\left( {{x}^{2}}+{{y}^{2}} \right) \\ \end{aligned}\]
Show that at every point of intersection their tangent planes are perpendicular to each other.
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