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Math / Differential Equations 00 4 / Chapter 1.2 / Problem 39

Differential Equations 00 | 4th Edition | ISBN: 9780495561989 | Authors: Paul (Paul Blanchard) Blanchard, Robert L. Devaney, Glen R. Hall

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A 5-gallon bucket is full of pure water. Suppose we begin

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QUESTION:

A 5-gallon bucket is full of pure water. Suppose we begin dumping salt into the bucket at a rate of 1/4 pounds per minute. Also, we open the spigot so that 1/2 gallons per minute leaves the bucket, and we add pure water to keep the bucket full. If the salt water solution is always well mixed, what is the amount of salt in the bucket after (a) 1 minute? (b) 10 minutes? (c) 60 minutes? (d) 1000 minutes? (e) a very, very long time?

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QUESTION:

A 5-gallon bucket is full of pure water. Suppose we begin dumping salt into the bucket at a rate of 1/4 pounds per minute. Also, we open the spigot so that 1/2 gallons per minute leaves the bucket, and we add pure water to keep the bucket full. If the salt water solution is always well mixed, what is the amount of salt in the bucket after (a) 1 minute? (b) 10 minutes? (c) 60 minutes? (d) 1000 minutes? (e) a very, very long time?

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amount of salt in the bucket after minutes.

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