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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 -0.0001y, 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.

Near a buoy, the depth of a lake at the point with the coordinates (x, y) is z = 200 +0.02x² -0.0001y, 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.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 25RE: Architecture A mason is building a semielliptical arch that has a height of 4 feet and a width of 10...
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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 – 0.0001y, where a, 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.
Transcribed Image Text:Near a buoy, the depth of a lake at the point with the coordinates (x, y) is z = 200 + 0.02x² – 0.0001y, where a, 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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