The surface of a mountain is modeled by the equation h(x, y) = 5000 − 0.001x2 − 0.004y2. A mountain climber is at the point (500, 500, 3750). In what direction should the climber move in order to ascend at the greatest rate?
The surface of a mountain is modeled by the equation h(x, y) = 5000 − 0.001x2 − 0.004y2. A mountain climber is at the point (500, 500, 3750). In what direction should the climber move in order to ascend at the greatest rate?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 38E
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The surface of a mountain is modeled by the equation h(x, y) = 5000 − 0.001x2 − 0.004y2. A mountain climber is at the point (500, 500, 3750). In what direction should the climber move in order to ascend at the greatest rate?
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