Pollution begins to enter a lake at time t = 0 at a rate ( in gallons per hour ) given by the formula f ( t ) , where t is the time ( in hours ). At the same time, a pollution filter begins to remove the pollution at a rate g ( t ) as long as the pollution remains in the lake. f ( t ) = 11 ( 1 − e − 0.5t ) , g ( t ) = 0.5t Use a graphing calculator to find the time after t = 0 when the rate that pollution enters the lake equals the rate the pollution is removed.
Pollution begins to enter a lake at time t = 0 at a rate ( in gallons per hour ) given by the formula f ( t ) , where t is the time ( in hours ). At the same time, a pollution filter begins to remove the pollution at a rate g ( t ) as long as the pollution remains in the lake. f ( t ) = 11 ( 1 − e − 0.5t ) , g ( t ) = 0.5t Use a graphing calculator to find the time after t = 0 when the rate that pollution enters the lake equals the rate the pollution is removed.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 77RE
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Pollution begins to enter a lake at time t = 0 at a rate ( in gallons per hour ) given by the formula f ( t ) , where t is the time ( in hours ). At the same time, a pollution filter begins to remove the pollution at a rate g ( t ) as long as the pollution remains in the lake.
f ( t ) = 11 ( 1 − e − 0.5t ) ,
g ( t ) = 0.5t
Use a graphing calculator to find the time after t = 0 when the rate that pollution enters the lake equals the rate the pollution is removed.
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