PRACTICE MIDTERM 1
Please work out each of the given problems.
Credit will be based on the steps that you show towards the final answer.
Show your work.
PROBLEM 1 Find the derivative of the following functions
f(x) = ln(ln x)
Find the following anti-derivatives.
During an experiment with a deadly new virus, Tom
drops a flask of the virus on the floor. Tom
and his four lab aids are immediately infected.
During the next six hours they infect an additional forty unsuspecting
people. Assume the rate of
spreading of the virus is proportional to the number of people who have been
A. Write a differential equation that models
this situation. Be sure to label
B. How long will it be until one million
people have been infected?
PROBLEM 4 A population of bacteria is growing at the rate of
where t is the time in
days. When t
= 0, the population is 1000.
A. Write an equation that models the population P
in terms of the time t.
B. What is the population after 3
C. After how many days will the population be 12,000?
down one thing that your instructor can do to make the class better.