125:1: i + ise'-Er Carolina, where r is number of years since 194?. the year the NC Wildlife Resources Commission was 3. Suppose P\") = {r Elgiyes an approximation of the number ofdeer {in thousands] in North established. In Lab 1, you estimated the instantaneous rates of change in this population using a table of yalues. Now you will use limits and derivatives to analyze the function. {A} 1I.l'|.I'hat is the limiting yalue ofthe population, due to environmental constraints? Express this yalue as a limit. To what graphical component of P does this value correspond? [Eptsl {Bl Determine P{r}. Simplify the numerator. {Eptsl {C} Eompute F[1CI} to three decimal places, and then interpret that value in the context of the problem in a complete sentence. [Eptsl {Dl Compute the instantaneous rate of change to three decimal places in the population in 1975. l4pts} {E} Lise technology to graph P' and estimate the year in which the instantaneous rate of change in the deer population was the greatest. Justify your answer by roughly sketching the graph you used and indicating the point on the graph which corresponds to your answer. Indicate the graphing utility used. l6pts} {F} Using the graph from E, what is the limiting yalue of the rate of change in the population? Express as a limit. {Epts}