1. Increases in carbon dioxide in the earth's atmosphere have been cited as a possible cause...

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1. Increases in carbon dioxide in the earth's atmosphere have been cited as a possible cause of 'global warming.' Let y represent the stock of CO2 and let x>0 (a constant) represent the flow of CO2 emissions that come from industrial activity. Assume that the dynamics of y are given by: y=x-ya, where the term ya represents the earth's capacity to remove CO2 from the atmosphere and allow its absorption elsewhere (e.g., in oceans, trees). Conduct a qualitative analysis of this model (what does this model tell us?), first for the case where a > 0 and then for the case where a <0. Comment on your results. 1. Increases in carbon dioxide in the earth's atmosphere have been cited as a possible cause of 'global warming.' Let y represent the stock of CO2 and let x>0 (a constant) represent the flow of CO2 emissions that come from industrial activity. Assume that the dynamics of y are given by: y=x-ya, where the term ya represents the earth's capacity to remove CO2 from the atmosphere and allow its absorption elsewhere (e.g., in oceans, trees). Conduct a qualitative analysis of this model (what does this model tell us?), first for the case where a > 0 and then for the case where a <0. Comment on your results.