The size of a population of bacteria (in average number per dish) introduced to a certain nutrient can be described by over time measured in hours by 33, 00013 110 + 19 To find the maximum size of this population for t 2 0, answer the following questions. N(t) = 4, 700 + a) Compute the derivative of N. Answer: N, (t) : E II.\" b) Find the positive critical pointp of N. FORMATTING: Give its exact value. Answer: 19 = a c) Complete the following table by choosing the appropriate phrase for each item from the drop-down menu. Range of t Behaviour of N Click for List v Click for List v Click for List v cl) From this table, you can conclude (select the best answer): that N has a local and global maximum atp that N has a global maximum atp. but we don't know if it is a local maximum that N has a local maximum atp, but we don't know if it is a global maximum none of the above e) What is the maximum average number of bacteria per dish when does it reach this maximum size? FORMATTING: Give your answers with an accuracy of two decimal places. Answer: The maximum average population per dish of Number is attained when t : Number