Question: In Problems 1-3, find a unit vector in the direction in which ( increases most rapidly at p. What is the rate of change in

In Problems 1-3, find a unit vector in the direction in which ( increases most rapidly at p. What is the rate of change in this direction?
1. ((x, y) = x3 - y5; p = (2, -1)
2. ((x, y) = ey sin x; p = (5(/6, 0)
3. ((x, y, z) = x2yz; p = (1, -1, 2)

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