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You are standing at the point P(100, 100, 500) on the side of a hillside that has the shape of the graph of z = 1000/(1 + 0.00003x^2 + 0.00007y^2). [Distance in meters]

a) What is your rate of climb if you head Northwest?

b) In which direction should you proceed in order to climb most steeply?

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