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The height, z, of a mountain is modeled by the function
z = 3000 - 20² - 50y² + 80x + 200y
where x, y, and z are measured in meters.
(c) Still standing at (x,y) = (2,4), find a direction in which the hiker could hike to keep her elevation constant. Give your answer as a unit vector.

Sagot :

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