A stream feeds into a lake at a rate of 1000 m³/day. The stream is polluted with a toxin whose concentration is 10 g/m³. Assume that the lake has volume 10° m³ and that water flows out of the lake at the same rate of 1000 m³/day. Find the equation for the concentration c(t) of toxin in the lake, assuming that c(0) = 0. (Express numbers in exact form. Use symbolic notation and fractions where needed.)
A stream feeds into a lake at a rate of 1000 m³/day. The stream is polluted with a toxin whose concentration is 10 g/m³. Assume that the lake has volume 10° m³ and that water flows out of the lake at the same rate of 1000 m³/day. Find the equation for the concentration c(t) of toxin in the lake, assuming that c(0) = 0. (Express numbers in exact form. Use symbolic notation and fractions where needed.)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Transcribed Image Text:A stream feeds into a lake at a rate of 1000 m³/day. The stream is polluted with a toxin whose concentration is 10 g/m. Assume
that the lake has volume 10° m³ and that water flows out of the lake at the same rate of 1000 m'/day.
Find the equation for the concentration c(t) of toxin in the lake, assuming that c(0) = 0.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
c(t) :
g/m3
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