MTH135M

MTH 135 Participation Exercises for Week 8

Name___________________________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Set up a definite integral that represents the shaded area.

1) y = f(x)

Provide an appropriate response.

2) Find the area between the graph of and the x-axis over the interval (Round answer to two

decimal places, if necessary.)

3) Find the area between the graph of and the x-axis over the interval

Solve the problem.

4) The Lorenz curve for the income distribution in a small country is given by the function Find the Gini index

of income concentration. Round the answer to three decimal places.

Evaluate the definite integral to two decimal places.

5) dt

Solve the problem.

6) The length of telephone calls (in minutes) in a public telephone booth has the probability density function:

Determine the probability that a call selected at random will last between 2 and 6 minutes. (Round answer to two

decimal places.)

7) The rate of flow of a continuous income stream (in thousands of dollars per day) is given by Find the total

income produced during the first ten days of operation.

8) The rate of flow of a continuous income stream (in thousands of dollars per day) is given by Find the total

income produced during the first thirty days of operation.

Find the equilibrium point.

9) D(x) = , S(x) = + 2x + 1

Find the consumer's surplus for the following demand function at the given point.

10) D(x) = ; x =