Uninhibited growth can be modeled by exponential functions other than a(t) =upper a 0 e superscript kt. for example, if an initial population upper p 0 requires n units of time to triple, then the function p(t)equals upper p 0 (3 )superscript startfraction t over n endfraction models the size of the population at time t. an insect population grows exponentially. complete the parts a through d below.

Diane owes $387 to her brother. if she debits her bank account $161.25 a month to pay him back, how many months will it take her to pay off the debt?

The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f left parenthesis x right x squared over 2 left parenthesis 1 minus x right parenthesis endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.

Which describes the difference between the graph of f(x)=x^2 and g(x)=-(x^2-2)