Homework Sourse16 The number of people who donated to a certain organizatio
16 The number of people who donated to a certain organization between 1975 and 1992 can be modeled by the equation D(t)=-10.61t^3+208.808t^2-168.202t+9775.234 donors, where t is the number of years after 1975. Find the inflection point(s) from t=0 through t=17 , if any exist
Solution
for inflection points both first derivative and second derivative should be zero D\'(t) = -31.83t^2 +417.616t-168.202 D\'\'(t) = 63.63 t + 417.616 for D\'\'(t) t= 6.56 let us calculate D\'(6.56) = 1202 so there is no inflection point bet 0 to 17
