A polluted river has an initial concentration of a heavy metals of 10 parts/m3. The concentration of the heavy metals will reduce as rain falls into the rain. The concentration C of the pollutant as a function of time (in weeks) is given by dC + 0.056C = 0, C(0) = 107 dt Using Heun's method and a step size of 3.5 weeks, find the concentration of the pollutant at 7 weeks.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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3) A polluted river has an initial concentration of a heavy metals of 10 parts/m3. The
concentration of the heavy metals will reduce as rain falls into the rain. The concentration C of
the pollutant as a function of time (in weeks) is given by
dC
+ 0.056C = 0, C(0) = 107
dt
Using Heun's method and a step size of 3.5 weeks, find the concentration of the pollutant at 7
weeks.
Transcribed Image Text:3) A polluted river has an initial concentration of a heavy metals of 10 parts/m3. The concentration of the heavy metals will reduce as rain falls into the rain. The concentration C of the pollutant as a function of time (in weeks) is given by dC + 0.056C = 0, C(0) = 107 dt Using Heun's method and a step size of 3.5 weeks, find the concentration of the pollutant at 7 weeks.
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