Two kilos of rotenone are mixed into a lake which has a volume of 100 x...
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Two kilos of rotenone are mixed into a lake which has a volume of 100 x 20 x 2 = 4000 cubic meters. A stream of clean water flows into the lake at a rate of 1000 cubic meters per day. Assume that it mixes immediately throughout the whole lake. Another stream flows out of the lake at a rate of 1000 cubic meters per day. Fifteen percent of the rotenone decomposes every day. a. Write a mathematical model that describes the daily change in the amount of rotenone in the lake. b. Let Ro, R1, R2, denote the amounts of rotenone in the lake, R, being the amount of rotenone in the lake at the beginning of the th day after the poison is administered. Write a dynamic equation representative of the mathematical model. c. What is Ro? Compute R from your dynamic equation. Compute R2 from your dynamic equation. d. Find a solution equation for your dynamic equation. Two kilos of rotenone are mixed into a lake which has a volume of 100 x 20 x 2 = 4000 cubic meters. A stream of clean water flows into the lake at a rate of 1000 cubic meters per day. Assume that it mixes immediately throughout the whole lake. Another stream flows out of the lake at a rate of 1000 cubic meters per day. Fifteen percent of the rotenone decomposes every day. a. Write a mathematical model that describes the daily change in the amount of rotenone in the lake. b. Let Ro, R1, R2, denote the amounts of rotenone in the lake, R, being the amount of rotenone in the lake at the beginning of the th day after the poison is administered. Write a dynamic equation representative of the mathematical model. c. What is Ro? Compute R from your dynamic equation. Compute R2 from your dynamic equation. d. Find a solution equation for your dynamic equation.
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Related Book For
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
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