A container that has 5 L of water with 1 kg salt dissolved is to be filled by pure water at a rate of 0.5 L/min. The mixture is kept homogeneous by stirring and the solution is being pumped out at twice the rate of input. Find the function of salt in the container at any given time. OS (1) = 0.1(100 - 1)² kg S (t) = 0.01(10-1)² kg

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 57SE: Repeat the previous exercise to find the formula forthe APY of an account that compounds daily....
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A container that has 5 L of water with 1 kg salt dissolved is to be filled by pure water at a
rate of 0.5 L/min. The mixture is kept homogeneous by stirring and the solution is being
pumped out at twice the rate of input. Find the function of salt in the container at any
given time.
OS (1) = 0.1(100 – t)² kg
S (t) = 0.01 (101)² kg
Transcribed Image Text:A container that has 5 L of water with 1 kg salt dissolved is to be filled by pure water at a rate of 0.5 L/min. The mixture is kept homogeneous by stirring and the solution is being pumped out at twice the rate of input. Find the function of salt in the container at any given time. OS (1) = 0.1(100 – t)² kg S (t) = 0.01 (101)² kg
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