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Question: differential equations mixing problem for all problems you must include...

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Differential Equations: Mixing Problem

(FOR ALL PROBLEMS, YOU MUST INCLUDE ANY IMPORTANT SUPPORTING IDEAS/ WORK THAT SUPPORT YOUR CONCLUSIONS. IF YOU USE A THEOREM OR FORMULA, PLEASE INDICATE THAT YOU'RE DOING SO) - (PLEASE, WRITE NEAT)

1. Lake Bulldog, a popluar swimming lake located somewhere in northern Minnesota, holds 4, 000, 000 liters of water, and has one creek flowing in, at a constant rate of 20 liters per minute, and one creek flowing out, also at a constant rate of 20 liters per minute. A factory was recently built upstream from Lake Bulldog, which dumps highly phosphoric water into the inflowing creek. Since this began, the inflowing creek has seen a phospho- rous concentration of .1 milligrams per liter (mg/L), a dramatic jump in concetration. Lake Bulldog initally has a concentration of .01 mg/L of phosphrous (a normal concen- tration for an unpolluted lake). If .02 mg/L is the threshold where the lake no longer is safe for swimming, for how many days (after the factory began operation) can swimmers enjoy the lake before it becomes too toxic?

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