In a mixed reactor, the concentration of a chemical is given by: C = Cin(1-e-0.025t) +c(e-0.025t) Where cin=15 and co=4. Compute the time required for c to be 40 percent of Cin using the following: a. Performing two iterations using the bisection method with ao=3 and bo=20. b. Performing two iterations using the false position method with ao=3 and bo=20.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 24AR: a. Given: x=360 inches and y=5.10 inches. Compute Dia A to 2 decimal places. b. Given: Dia A=8.76...
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In a mixed reactor, the concentration of a chemical is given by:
C = Cin(1-e-0.025t)+cole-0.025t)
Where Cin=15 and co=4. Compute the time required for c to be 40 percent of Cin using the following:
a. Performing two iterations using the bisection method with ao=3 and bo=20.
b. Performing two iterations using the false position method with an=3 and bo=20.
c. Performing two iterations using the Newton-Raphson Method with to=5.
d. Performing two iterations using the secant method with to=15 and t-1=12.
e. Performing two iterations using fixed-point iteration to=2. Before doing any iterations, check if the iterating function you selected will converge to
the root.
Calculate the true % error of your final result in each of the cases.
Transcribed Image Text:In a mixed reactor, the concentration of a chemical is given by: C = Cin(1-e-0.025t)+cole-0.025t) Where Cin=15 and co=4. Compute the time required for c to be 40 percent of Cin using the following: a. Performing two iterations using the bisection method with ao=3 and bo=20. b. Performing two iterations using the false position method with an=3 and bo=20. c. Performing two iterations using the Newton-Raphson Method with to=5. d. Performing two iterations using the secant method with to=15 and t-1=12. e. Performing two iterations using fixed-point iteration to=2. Before doing any iterations, check if the iterating function you selected will converge to the root. Calculate the true % error of your final result in each of the cases.
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