The population of a certain town was 10,000 in 1990. The rate of change of the population, measured in people per year, is modeled by P'(t) = 200e^0.02t, where t is measured in years since 1990. Discuss the meaning of upper integral = 20, lower integral =0 P'(t) dt. Calculate the change in population between 1995 and 2000. Do we have enough information to calculate the population in 2020? If so, what is the population in 2020? Explain your answers.
The population of a certain town was 10,000 in 1990. The rate of change of the population, measured in people per year, is modeled by P'(t) = 200e^0.02t, where t is measured in years since 1990. Discuss the meaning of upper integral = 20, lower integral =0 P'(t) dt. Calculate the change in population between 1995 and 2000. Do we have enough information to calculate the population in 2020? If so, what is the population in 2020? Explain your answers.
The population of a certain town was 10,000 in 1990. The rate of change of the population, measured in people per year, is modeled by P'(t) = 200e^0.02t, where t is measured in years since 1990. Discuss the meaning of upper integral = 20, lower integral =0 P'(t) dt. Calculate the change in population between 1995 and 2000. Do we have enough information to calculate the population in 2020? If so, what is the population in 2020? Explain your answers.
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