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Differential Equations: An Introduction to Modern Methods and Applications
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- Suppose E = 185+2.5t and W = 5 +7.5t represent the population (in thousands) of two cities, Eastborough and Westborough, respectively. Determine the number of years it will take for their populations to be (a) equal, and (b) for Eastborough to have twice as many inhabitants as Westborough. Also report the population of the towns for each situation. (a) In how many years will the population of Eastborough equal that of Westborough? 36 Correct response: 36 years What will be their populations? 275 Correct response: 275 thousand people A graphical representation of the solution to part (a) is shown below. Population, thousands Westborough of people Eastborough 275 t, years 36 (b) In how many years will Eastborough have twice as many inhabitants as Westborough? Predict first: Viewing the above graph, the answer should be less Correct response: less than 36 years. In how many years will Eastborough have twice as many inhabitants as Westborough? Number years (TIP: Be sure this is consistent…arrow_forwardFind exact solutions for x - 5x + 3 = 0. Then use a calculator to approximate these solutions correct to two decimal places.arrow_forward
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