An operator found a 1.3 meters-tall dead man at the bottom of an inverted conical tank that has depth of 5 meters and a width of 2 meters. According to the operator, the tank contains 4.5 meters of water at 6:00 AM and 25 liters per minute of water enters the tank through the inlet stream, while the outlet stream is completely closed. Moreover, he claims that the tank is empty since the previous day. Since he was the one to find the dead man and only his fingerprints are on the tank, he was brought to jail. At 8:00 AM, laboratory reports show that the dead man's blood has unusual high levels of a toxin with a concentration of 1.35 ppm. This toxin is known to have a half life of 4.5 hours and a concentration of 10 ppm is deadly. a. Set up a differential expression for the water level (h) as a function of time (t) and estimate at what time a man can die due to drowning.
An operator found a 1.3 meters-tall dead man at the bottom of an inverted conical tank that has depth of 5 meters and a width of 2 meters. According to the operator, the tank contains 4.5 meters of water at 6:00 AM and 25 liters per minute of water enters the tank through the inlet stream, while the outlet stream is completely closed. Moreover, he claims that the tank is empty since the previous day. Since he was the one to find the dead man and only his fingerprints are on the tank, he was brought to jail. At 8:00 AM, laboratory reports show that the dead man's blood has unusual high levels of a toxin with a concentration of 1.35 ppm. This toxin is known to have a half life of 4.5 hours and a concentration of 10 ppm is deadly. a. Set up a differential expression for the water level (h) as a function of time (t) and estimate at what time a man can die due to drowning.
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:An operator found a 1.3 meters-tall dead man at the bottom of an inverted conical tank
that has depth of 5 meters and a width of 2 meters. According to the operator, the tank contains
4.5 meters of water at 6:00 AM and 25 liters per minute of water enters the tank through the
inlet stream, while the outlet stream is completely closed. Moreover, he claims that the tank is
empty since the previous day. Since he was the one to find the dead man and only his
fingerprints are on the tank, he was brought to jail.
At 8:00 AM, laboratory reports show that the dead man's blood has unusual high levels
of a toxin with a concentration of 1.35 ppm. This toxin is known to have a half life of 4.5 hours
and a concentration of 10 ppm is deadly.
a. Set up a differential expression for the water level (h) as a function of time (t) and
estimate at what time a man can die due to drowning.
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