he 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:

N(t)=4,800+ 34,000t/100+t^2

a) what is the derivative of N'?

b) Find the positive critical point p of N

c)

Range of t	Behaviour of N
0	strictly increasing OR strictly decreasing OR constant
t=p	local maximum OR local minimum OR inflection point
t>p	strictly increasing OR strictly decreasing OR constant

d) What is the maximum average number of bacteria per dish when does it reach this maximum size?

Answer: The maximum average population per dish of----- is attained when t=-----