ITT Technical Institute

Framingham, Massachusetts

Quarter 7 Electronics Calculus

Instructor: Paul BurneyName __________________________________

Integration (Test #5)

Useful Formula:

Instructions:Please solve the following problems. Credit will be given for work completed so make sure to show it!

- Find the following definite integrals.

- Find the following indefinite integrals.

- Solve the following problem.

The rate at which a virus spreads in a population is given by:

I'(t) = 2500 - 50t

where t is the time in weeks since the virus was introduced into a population.

Find a general equation for the number of people infected with the virus at any time t, I(t) (i.e., find an intfinite integral).

BONUS QUESTION: 15 points

If the population in the problem above begins at 300,000 people, how long does it take for all of them to become infected?