Mathematics, 03.03.2020 21:21 joel3410
A mass balance for a pollutant in a well-mixed lake can be written as (V)* dc/dt = W β Qc β kV β c
(a) Given the parameter values V = 1 Γ 106 m3 , Q = 1 Γ 105 m3/yr, W = 1 Γ 106 g/yr, and k = 0.25 g0.5/m1.5/yr, use the Newton-Raphson method to solve for the steady-state concentration. Employ an initial guess of c0 = 4 g/m3 . Perform three iterations and determine Ξ΅a after the third iteration.
(b) Repeat part 3a using the secant method. Let c0 = 4 and c1 = 6.
(c) Run the Matlab function massBalance. m to confirm your results for part 3a.
(d) Modify massBalance. m so that it implements the secant method (Hint: you will add another input variable, c1, to the first line of the program and then use this variable in your calculations).
Answers: 1
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A mass balance for a pollutant in a well-mixed lake can be written as (V)* dc/dt = W β Qc β kV β c <...
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