A biologist observe that a bacterial culture of goddyna ebrenumisdious has assued a circular shape of radius r = konst. The culture contains 1000 bacterin per spare millimeter.
(1) What is the population P of bacteria in the culture?
(2) By measuring the culture a few hours later, the biologist sees that the diameter of the culture is increasing at the rate of 2mm per day. What is the current instantaneous growth rate (in bacteria per day) of the culture?
(3) What is the specific rate of change (per capita growth rate) of the culture? Express your answer in units of "percent per day. If you could not do part (2), then at least give a formula for part marks.
