The survival of ancient manuscripts can be modeled by a logistic equation. The number of copies of a particular manuscript was found to approach a limiting value over the five centuries after its publication. Let G(t) represent the proportion of manuscripts known to exist after t centuries out of the limiting value, so that m - 1. For this manuscript, it was fo that k = 3.3 and Go - 0 00361. Complete parts a through e I he proportion of manuscripts after 2 centuries is (Type an integer or decimal rounded to four decimal places as needed.) The rate of growth after 2 centuries is per century. (Type an integer or decimal rounded to four decimal places as needed ) d. Find the proportion of manuscripts and rate of growth after 3 centuries. The proportion of manuscripts after 3 centuries is (Type an integer or decimal rounded to four decimal places as needed.) The rate of growth after 3 centuries is |per century (Type an integer or decimal rounded to four decimal places as needed!) e. What happens to the rate of growth over time? At first, the rate of growth However, over time, the rate of growth appears to be because the values of are as increasesThe survival of ancient manuscripts can be modeled by a logistic equation. The number of copies of a particular manuscript was found to approach a limiting value over the five centuries after its publication. Let G(t) represent the proportion of manuscripts known to exist after t centuries out of the limiting value, so that m =1. For this manuscript, it was found that k =3.3 and G. = 0.00361. Complete parts a through e. a. Find the growth function G(t) for the proportion of copies of the manuscript found. G(1) = b. Find the proportion of manuscripts and rate of growth after 1 century. The proportion of manuscripts after 1 century is (Type an integer or decimal rounded to four decimal places as needed ) The rate of growth after 1 century is || per century. (Type an integer or decimal rounded to four decimal places as needed.) c. Find the proportion of manuscripts and rate of growth after 2 centuries The proportion of manuscripts after 2 centuries is (Type an integer or decimal rounded to four decimal places as needed.) The rate of growth after 2 centuries is per century. Tuna on intonar or dorimal funded to four decimal placee ac neardad 1 maining: 00:58 53 Next