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Calculus 1 Week Five Notes

by: Michael Notetaker

Calculus 1 Week Five Notes MTH 141

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Calculus 1
Michael Filipski
Class Notes
Math, Calculus, 121
25 ?




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This 5 page Class Notes was uploaded by Michael Notetaker on Monday September 26, 2016. The Class Notes belongs to MTH 141 at University at Buffalo taught by Michael Filipski in Fall 2016. Since its upload, it has received 6 views. For similar materials see Calculus 1 in Math at University at Buffalo.


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Date Created: 09/26/16
EAS 199 C1-F HW2 Quantitative Model September 27th, 2016 Michael Cunico Logan Tuczak Josh Lewis Ethanol: a. Model Definition (acres cropland)(gallons ethanol/acre corn)/(gallon equiv.) ● Quantitative Model: % = Annual U.S. Gasoline Demand (gal.) ● Assumptions: ○ All the corn goes toward fuel ○ Crop rotation is abandoned and only corn is grown ○ All of the kernels are healthy enough to be processed ● Variables: ○ Cropland: all U.S. farms that are dedicated to growing corn ● Variable Values: ○ 336,613,500 acres of cropland ○ 409.5 gallons of ethanol per acre of corn ○ 1.415 gallon equivalent ○ 1.41215E+11 annual U.S. gasoline demand Biodiesel from Soy: b. Model Definition ● Quantitative Model: (acres cropland)(gallons of biodiesel/acre soy)/(gallon equivalent) annual U.S. gasoline demand (gal) ● Assumptions: ○ Only existing cropland that produces soy ○ Annual U.S. gasoline demand remains the same ○ The ratio of gallons of biodiesel produced per acre of soy does not improve ● Variables: ○ Acres of cropland: All U.S. farms that are dedicated to producing soy ○ Gallons of biodiesel produced per acre of soy ○ Gallon equivalent ○ Annual U.S. gasoline demand (gallons) ● Variable Values: ○ 70 million acres of cropland dedicated to soy ○ 0.9600 gallon equivalent ○ 71.99 billion gallons per year ○ 53.5 gallons of biodiesel produced per acre of soy Biodiesel from Algae: c. Model Definition ● Quantitative Model: U.S. demand of biodiesel/year Biodiesel production/acre of algae pond ● Assumptions: ○ U.S. demand of biodiesel per year remains the same ○ Efficiency of oil extraction from algae remains the same ○ Only existing algae ponds and naturally occurring algae sources are used ● Variables: ○ U.S. demand of biodiesel per year ○ Biodiesel production per acre of algae pond ● Variable Values: ○ 1,205 million gallons of biodiesel consumed per year ○ 3500 gallons of biodiesel produced per acre of algae pond Synthetic Fuel from Coal: d. Model Definition ● Quantitative Model:tons of Annual U.S. Gasoline Demand (gal.)Years Lefted/ton of coal) ● Assumptions: ○ We use all of the coal that we know of in the Earth’s crust ○ We do not discover any more coal reserves ○ We use the technology that we are currently using to produce this fuel ○ All modern processes and transporting remains the same ○ The annual U.S. gasoline demand remains the same ● Variables: ○ Tons of coal in reserve: The amount of coal that is in the known reserves in the Earth’s crust (measured in tons) ○ Gallons of gasoline produced/ton of coal: The amount of gasoline that is produced in the manufacturing of converting coal into gasoline using one ton of coal ○ Annual U.S. Gasoline Demand (gal.): The amount of gasoline that is demanded and used in the United States in a year ● Variable Values: ○ There are 840 billion tons of coal left in the reserves ○ Approximately 81.5 gallons of gasoline are produced using one ton of coal ○ 140 billion gallons of gasoline are consumed in the United States each year (although this value changes from year to year and is currently on a slight decline)


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