A football, in the shape of an ellipsoid, is lying on the ground in the rain. Its length is 8 inches and its cross section at its widest point is a circular disc of radius 2 inches.
A rain drop hits the top half of the football. Find the path that it follows as it runs down the top half of the football. Hint: Recall that the gradient of a function ƒ (x, y) points in the (x, y)-direction of maximum increase of ƒ.
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