a) The surface of a lake is represented by a region in the x y-plane such...

 

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a) The surface of a lake is represented by a region in the x y-plane such that the depth (in meter) under the point (x, y) is h (x, y) = 200 -x2- 4 y?. (i) Analyze the direction of the boat at P (1, 2) sail in order for the depth of the water to decrease most rapidly. (4 marks) (ii) Analyze in what direction does the depth remains the same? (6 marks) a) The surface of a lake is represented by a region in the x y-plane such that the depth (in meter) under the point (x, y) is h (x, y) = 200 -x2- 4 y?. (i) Analyze the direction of the boat at P (1, 2) sail in order for the depth of the water to decrease most rapidly. (4 marks) (ii) Analyze in what direction does the depth remains the same? (6 marks)

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