There is one point at which the plane tangent to the surface is horizontal. Find it.


Question: A bee flies upward along the curve that is the intersection of \(z={{x}^{4}}+x{{y}^{3}}+12\) with the plane X = 1. At the point (1,-2, 5) it went off on the tangent line, where did the bee hit the xz-plane?

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