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P (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 graph shows models for the open ocean, Lake Tahoe, and Lake Erie for data taken under similar conditions. Percent 0.8- 0.6- 04- 02- Percent of Surface Light vs. Depth -0.0491 x Ocean: P = e Tahoe: P = e -0.0799 x Erie: P = e 20 The euphotic depth for the open ocean is -0.1980 x Depth (m) The 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 appreciable photosynthesis takes place. Find the euphotic depth for the open ocean. Round to the nearest tenth of a meter. meters. X Ś

P (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 graph shows models for the open ocean, Lake Tahoe, and Lake Erie for data taken under similar conditions. Percent 0.8- 0.6- 04- 02- Percent of Surface Light vs. Depth -0.0491 x Ocean: P = e Tahoe: P = e -0.0799 x Erie: P = e 20 The euphotic depth for the open ocean is -0.1980 x Depth (m) The 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 appreciable photosynthesis takes place. Find the euphotic depth for the open ocean. Round to the nearest tenth of a meter. meters. X Ś

Advanced Engineering Mathematics
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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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 -kx P (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 graph shows models for the open ocean, Lake Tahoe, and Lake Erie for data taken under similar conditions. Percent 0.8- 0.2- Percent of Surface Light vs. Depth -0.0491 x Ocean: P = e Tahoe: P = e -0.0799 x Depth (m) Erie: P = e -0.1980 x The euphotic depth for the open ocean is The 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 appreciable photosynthesis takes place. Find the euphotic depth for the open ocean. Round to the nearest tenth of a meter. meters. X
Transcribed Image Text: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 -kx P (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 graph shows models for the open ocean, Lake Tahoe, and Lake Erie for data taken under similar conditions. Percent 0.8- 0.2- Percent of Surface Light vs. Depth -0.0491 x Ocean: P = e Tahoe: P = e -0.0799 x Depth (m) Erie: P = e -0.1980 x The euphotic depth for the open ocean is The 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 appreciable photosynthesis takes place. Find the euphotic depth for the open ocean. Round to the nearest tenth of a meter. meters. X
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