Sunlight is absorbed in water, and as a result the light intensity in oceans, lakes, and ponds decreases exponentially with depth. The percentage of visible light-kxP (in decimal form) at a depth of x meters is given by P=e, where k is a constant related to the clarity and other physical properties of the water. The graphshows models for the open ocean, Lake Tahoe, and Lake Erie for data taken under similar conditions.Percent0.8-0.2-Percent of Surface Light vs. Depth-0.0491 xOcean: P = eTahoe: P = e-0.0799 xDepth (m)Erie: P = e-0.1980 xThe euphotic depth for the open ocean isThe euphotic depth is the depth at which light intensity falls to 1% of the value at the surface. This depth is of interest to scientists because no appreciablephotosynthesis takes place. Find the euphotic depth for the open ocean. Round to the nearest tenth of a meter.meters.X

P=e-0.0491x where P is the percentage of visible light and x is the depth.

Answered: P (in decimal form) at a depth of x…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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