A drug that stimulates reproduction is introduced into a colony of bacteria. After t minutes, the number of bacteria is given by N (t) = 1,200 + 33 t2 t3, 0 S t g 22. When does the maximum number of bacteria occur? What is the maximum number of bacteria. If there is no maximum or minimum write "none". The maximum number of bacteria occurs in Number Units The maximum number of bacteria is bacteria. Five years after its f0unding, a national consumers' association began to keep track of their membership. The model that best represents the number of members in the association is f(m) = 100 (2 m3 45 m2 + 264 at) where a: = 0 represents the number of years since 1991. Between what years was the associations membership decreasing? The associations membership was decreasing between the years and Let f (at) = 6(332 4). Find the absolute maximum(s) and absolute minimum(s) of the function on the interval 4 5 at g 1. If there is no maximum or minimum write "none". Round your answer to two decimal places, when necessary. Absolute Maximum(s): a: = Number and y = Number Absolute Minimum(s): :1: = Number and y = Number Let f (:12) = 9 :c 111(9 :1: + 3). Find a) critical value(s) and b) interval(s) where the function is increasing and decreasing. If there is more than one answer separate answers with a semicolon. Write your solutions in fraction form if needed. Use -innity for 00 and innity for 00. Do not enter spaces in your answers. a. Critical Value(s): [5' b. Interval(s) where the function is increasing: ( ) BI Es. Interval(s) where the function is decreasing: ( l I)