Annual U.S. imports from a certain country in the years 1996 through 2005 could be approximated by I(t) = t2+ 3.4t+47 (1 5 ts 9) billion dollars, where t represents time in years since 1995. Annual U.S. exports to the country in the same years could be approximated by 50) = o.4t2 1.4t + 13 (o s t s 10) billion dollars. Assuming that the trends shown in the above models continue indenitely, calculate the limits . . I(t) | l _ um I\") and a"; Em algebraically. (If an answer does not exist, enter DNE.) lim I(t) ti+m lim E t' +09 EU') Interpret your answers. In the long term, U.S. imports from the other country will and be l: times U.S. exports to the other country. Could the given models be extrapolated far into the future? 0 Yes ONO The percentage p(t) of children who can speak in at least single words by the age of t months can be approximated by the following equation. 11,200 p(t) = 100(1 W) (t 2 3.5) Calculate lim P(t)- (If an answer does not exist, enter DNE.) t* +09 time) = |:l Interpret the results. The percentage of children who learn to speak approaches S % as their age increases