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Consider a pond with 10000m3 of clean water that has water feeding into it from Stream A and water running out of it from Stream B, both at a rate of 600m³ per day. Starting at time t = 0, coal ash begins getting pumped into the Stream A, contaminating the water feeding into the pond at a concentration of 1lb per 50m³. (a) Set up an initial value problem modeling the number of lbs of coal ash, C(t), in the pondt days after the contamination began. (b) Find limit as t → o of C(t). Note: You do not need to solve the initial value problem for either part.

Consider a pond with 10000m3 of clean water that has water feeding into it from Stream A and water running out of it from Stream B, both at a rate of 600m³ per day. Starting at time t = 0, coal ash begins getting pumped into the Stream A, contaminating the water feeding into the pond at a concentration of 1lb per 50m³. (a) Set up an initial value problem modeling the number of lbs of coal ash, C(t), in the pondt days after the contamination began. (b) Find limit as t → o of C(t). Note: You do not need to solve the initial value problem for either part.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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Consider a pond with 10000m³ of clean water that has water feeding into it from Stream A and water running out of it from Stream B, both at a rate of 600m³ per day. Starting at time t = 0, coal ash begins getting pumped into the Stream A, contaminating the water feeding into the pond at a concentration of 1lb per 50m³. (a) Set up an initial value problem modeling the number of lbs of coal ash, C(t), in the pondt days after the contamination began. (b) Find limit as t → o of C(t). Note: You do not need to solve the initial value problem for either part.
Transcribed Image Text:Consider a pond with 10000m³ of clean water that has water feeding into it from Stream A and water running out of it from Stream B, both at a rate of 600m³ per day. Starting at time t = 0, coal ash begins getting pumped into the Stream A, contaminating the water feeding into the pond at a concentration of 1lb per 50m³. (a) Set up an initial value problem modeling the number of lbs of coal ash, C(t), in the pondt days after the contamination began. (b) Find limit as t → o of C(t). Note: You do not need to solve the initial value problem for either part.
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