A certain population grows according to the model 200 NO) = 1 + be Of Find a formula for the model if the initial population is 50. (Express numbers in exact form. Use symbolic notation and fractions where needed.) NO) = Find a formula for the model if the initial population is 200. (Express numbers in exact form. Use symbolic notation and fractions where needed.) NO =Find a formula for the model if the initial population is 400. (Express numbers in exact form. Use symbolic notation and fractions where needed.) N ( ) = Produce a picture showing the graphs of the three preceding models. (Enter expressions in terms of / to graph. Separate multiple expressions with commas.)N() = N + 400 300 200 100 powered by desmo 5 10 15The following model gives the approximate number of deaths due to tuberculosis as a fraction of all deaths in the United States years after 1865: 0.14 T = 1 + 0.050107: Note that the r-value here is negative, which leads to a positive exponent of e. The graph of such a model is known as an inverted logistic curve. Plot the graph of T' over 150 years. (Enter expression in terms of / to graph.)T = T + 0.2 0:15 0:1 0.05 powered by 50 100 150Judging from your plot, what is the limit of T' as t - co? (Give an exact answer. Use symbolic notation and fractions where needed.) limit of T