Near a buoy, the depth of a lake at the point with the coordinates (x,y) is z=200+0.02x2-0.0001y3 , where x,y and z are measured in meters. A fisherman in a small boat starts at the point (80,60) and moves toward the buoy, which is located at (0,0). Is the water under the boat getting deeper or shallower? Explain.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.1: Systems Of Equations
Problem 61E
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Near a buoy, the depth of a lake at the point with the coordinates  (x,y) is z=200+0.02x2-0.0001y3 , where x,y and  z are measured in meters. A fisherman in a small boat starts at the point (80,60) and moves toward the buoy, which is located at (0,0). Is the water under the boat getting deeper or shallower? Explain.

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