11. Suppose the CO₂ levels in the atmosphere (in ppm) can be modeled by the differential dA dt equation: = -.00003 (A-28
Posted: Tue Jul 12, 2022 12:07 pm
11. Suppose the CO₂ levels in the atmosphere (in ppm) can be modeled by the differential dA dt equation: = -.00003 (A-288.03) (A-961.97), where t is measured in years since 1957 with a CO₂ level in 1987 of 350.05 parts per million. (a) Use Euler's method with h = 4 years to approximate the CO₂ levels in 1991 and in 2007. You may use a spreadsheet to assist with the calculations. (4 pts) (b) Use RK4 with h = 4 years to approximate the CO₂ levels in 1991 and in 2007. You may use a spreadsheet to assist with the calculations. (4 pts) (c) Examine the differential equation and determine the maximum CO₂ levels this logistic model predicts. (2 pts)