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 Pre-Calculus and Calculus
 Slope af hill, rate of change
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Posted - 01/28/2011 :  08:59:59  Show Profile  Reply with Quote

I am confused with a problem, stated as such:

The curve of a hill is defined as z=1000-0.005x^2 - 0.01y^2 and standing at P=(60, 40, 966) with x axis pointing east and y axis north.

If you walk south, will you ascend or descend? How quickly?

What direction is the maximum rate of change?
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Posted - 01/28/2011 :  13:22:00  Show Profile  Reply with Quote
What does the gradient look like at P?
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