The intensity L(x) of light x feet beneath the surface of the ocean decreases at a rate proportional to its value at that location. That is, L(x) satisfies the differential equation dL dx -KL, for some k > 0 (the constant of proportionality). An experienced diver has determined that the weather conditions on the day of her dive will be such that the light intensity will be cut in half upon diving 12 ft under the surface of the water. She also knows that, once the intensity of the light falls below of the surface value, she will have to make use of artificial light. How deep can the diver go without having to resort to the use of artificial light? Answer = 6023/100 > ft
The intensity L(x) of light x feet beneath the surface of the ocean decreases at a rate proportional to its value at that location. That is, L(x) satisfies the differential equation dL dx -KL, for some k > 0 (the constant of proportionality). An experienced diver has determined that the weather conditions on the day of her dive will be such that the light intensity will be cut in half upon diving 12 ft under the surface of the water. She also knows that, once the intensity of the light falls below of the surface value, she will have to make use of artificial light. How deep can the diver go without having to resort to the use of artificial light? Answer = 6023/100 > ft
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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Transcribed Image Text:= -kL,
The intensity L(x) of light x feet beneath the surface of the ocean decreases at a rate proportional to its value at that location. That is, L(x) satisfies the differential equation
dL
dx
How deep can the diver go without having to resort to the use
for some k > 0 (the constant of proportionality). An experienced diver has determined that the weather conditions on the day
will be cut in half upon diving 12 ft under the surface of the water. She also knows that, once the intensity of the light falls below
make use of artificial light.
Answer= 6023/100
J
f artificial light?
Ĉ
Σ ft
her dive will be such that the light intensity
of the surface value, she will have to
9
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