A drug that stimulates reproduction is introduced into a colony of bacteria. After t minutes, the number of bacteria is given approximately by the following equation. Use the equation to answer parts (A) through (D) N(t)= 1000+48t2-t3 0StS32 (A) When is the rate of growth, N'(t), increasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice A The rate of growth is increasing on (0,16) OB. The rate of growth is never increasing When is the rate of growth decreasing? Select the correct choice below and, if necessary, fill in the answer box to complete your choice (Type your answer in interval notation. Use a comma to separate answer as needed.) A The rate of growth is decreasing on (16,32) OB. The rate of growth is never decreasing (B) Find the inflection points for the graph of N. Select the correct choice below and, if necessary, fill in the answer box to complete your choice (Type your answer in interval notation. Use a comma to separate answer as needed.) The inflection point(s) is/are at t There are no inflection points A S 15 are at t 16 OB. (C) Sketch the graphs of N and N' on the same coordinate system. Choose the correct graph below 18 18 18 32 32 32 32 (D) What is the maximum rate of growth? The maximum rate of growth at minutes is bacteria per minute