Authorities conducted an investigation and found that the chemical Trioxin was illegally dumped into the local swamp. Exactly four days after the assumed time of the crime, the amount of Trioxin in the swamp was est at about 45.9 barrels, and exactly seven days after the crime, it was estimated at 19.5 barrels. Assume that no Trioxin was in the swamp before the crime, and that Trioxin decays exponentially. Construct a model that estimates the amount of Trioxin (in barrels) remaining in the swamp t days after it was dumped, then use that model to answer the following. 1) According to the model, how much Trioxin was initially dumped into the swamp? ROUND TO ONE DECIMAL PLACE. About barrels were initially dumped into the swamp. 2) According to the model, at what rate was the amount of Trioxin in the swamp decreasing exactly 4 days after it was dumped? ROUND TO ONE DECIMAL PLACE. The Trioxin was decreasing at a rate of barrels per day. 3) How many days after the crime will/did it take for the amount of Trioxin in the swamp to drop to 2 barrels? ROUND TO ONE DECIMAL PLACE. It took or will take about days.

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10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Authorities conducted an investigation and found that the chemical Trioxin was illegally dumped into the local swamp. Exactly four days after the assumed time of the crime, the amount of Trioxin in the swamp was estimated
at about 45.9 barrels, and exactly seven days after the crime, it was estimated at 19.5 barrels. Assume that no Trioxin was in the swamp before the crime, and that Trioxin decays exponentially.
Construct a model that estimates the amount of Trioxin (in barrels) remaining in the swamp t days after it was dumped, then use that model to answer the following.
1) According to the model, how much Trioxin was initially dumped into the swamp?
ROUND TO ONE DECIMAL PLACE.
About barrels were initially dumped into the swamp.
2) According to the model, at what rate was the amount of Trioxin in the swamp decreasing exactly 4 days after it was dumped? ROUND TO ONE DECIMAL PLACE.
The Trioxin was decreasing at a rate of barrels per day.
3) How many days after the crime will/did it take for the amount of Trioxin in the swamp to drop to 2 barrels? ROUND TO ONE DECIMAL PLACE.
It took or will take about
days.
Transcribed Image Text:Authorities conducted an investigation and found that the chemical Trioxin was illegally dumped into the local swamp. Exactly four days after the assumed time of the crime, the amount of Trioxin in the swamp was estimated at about 45.9 barrels, and exactly seven days after the crime, it was estimated at 19.5 barrels. Assume that no Trioxin was in the swamp before the crime, and that Trioxin decays exponentially. Construct a model that estimates the amount of Trioxin (in barrels) remaining in the swamp t days after it was dumped, then use that model to answer the following. 1) According to the model, how much Trioxin was initially dumped into the swamp? ROUND TO ONE DECIMAL PLACE. About barrels were initially dumped into the swamp. 2) According to the model, at what rate was the amount of Trioxin in the swamp decreasing exactly 4 days after it was dumped? ROUND TO ONE DECIMAL PLACE. The Trioxin was decreasing at a rate of barrels per day. 3) How many days after the crime will/did it take for the amount of Trioxin in the swamp to drop to 2 barrels? ROUND TO ONE DECIMAL PLACE. It took or will take about days.
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