Question: Find a unit vector n that is normal to the surface z 2 2x 4 y 4 = 16 at P = (2,

Find a unit vector n that is normal to the surface z2 − 2x4 − y4 = 16 at P = (2, 2, 8) that points in the direction of the xy-plane (in other words, if you travel in the direction of n, you will eventually cross the xy-plane).

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