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Explain equations (1) and (2) from Excerpt A (it might help to put the equation in a different form). Include a conjecture as to why the models use biomass as opposed to numbers of fish. Also, units are not represented, so explain why this is either acceptable or not. From model (2) in excerpt A derive equations (3), (4), and (5). Hint: First find the value of  that provides for a stable equilibrium (you need to show that it is stable, why?), then maximize an expression of the maximum yield as a function of.

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Differential Equations and Sustaining Fisheries Produced by Thomas J. Pfaff as part of the MSE project (http://www.ithaca.edu/mse/) Ithaca College   Excerpt A (at the end)…

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Summarize the CO2 emissions by each country using the table. Be as detailed as possible. From 1980 to 2021, calculate the average rate of change of total emissions and per capita emissions for each country. Summarize your results in a few sentences. Use Riemann sums to calculate the total emissions and per capita emissions from 1980 to 2021. Did you use left, right, or midpoint boxes?  Which country is more responsible for current atmospheric CO2 levels? Summarize your results in a few sentences.

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China and U.S. CO2 Emissions Produced by Thomas J. Pfaff sustainabilitymath.org Updated March 2023   Overview: Greenhouse cases, in particular CO2, are the drivers of…

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Find a model with output Average CO2 in PPM and input years (or years after 1950). [Either delete this question or the figure, in which case provide the data.] According to the model what will CO2 levels be in 2050? What is the rate of change of CO2 in 2022 (the last year of the data set) and what is the percentage rate of change?

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A Look at Atmospheric CO2 Produced by Thomas J. Pfaff sustainabilitymath.org Updated March 2023   Figure 1 Atmospheric CO2 data, 1950-2021, from the Mauna Loa…

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