PLEASE HELP ME Question 4 (1 point)
Water is being poured into a container with a circular base. The volume V of the container is given by V =
wherer is the radius of the
3
base, in feet. The circumference of the base is increasing at a constant rate of 7 9 feet per hour. When the circunference of the base is 10%
feet, what is the rate of change of the pile, in cubic feet per hour?
(Hint: This is a related rates problem)
Remember C = 2 T, C is the circumference
Оа
10
7T
Ob
Ос
1407
32.7
2
Od
Оe
70%
52

The biologist has a second culture to examine. she knows that the population of the culture doubles every 15 minutes. after 1 hour and 15 minutes, her assistant found that 80,000 bacteria were present. a) what was the size of the initial population? b) predict the size of the culture at t=3 hours. what was the size of the population at 40 minutes? explain and justify your answers. c) create a graph of the population as a function of time. find an equation that can be used to predict the size of the population at any time t. d) examine the rate at which the bacteria culture is growing. how fast is the culture growing after 1 hour? after 1.5 hours? after 2 hours? use a time interval of h = 0.01 hours to estimate these rates. interpret these rates in terms of the context of the problem situation. how do these three rates compare?