MTH135M

MTH 135 Homework Ex 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 = h(x)

Provide an appropriate response.

2) Find the area bounded by and for

3) Find the area bounded by and

Solve the problem.

4) The Lorenz curve for the income distribution in a certain country is given by

I) Find the Gini index of income concentration.

II) Use the answer found in I) to determine if the income of this country is more equally distributed, less equally

distributed, or distributed the same as a second country having an index of income concentration of 0.2.

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 longer than seven minutes. (Round answer to two

decimal places.)

7) Find the total income produced by a continuous income stream in the first nine years if the rate of flow is

8) Find the total income produced by a continuous income stream in the first nine years if the rate of flow is

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

9) Find the consumers' surplus at a price level of for the price-demand equation

Find the producer's surplus for the following supply function at the given point.

10) S(x) = + 2; x = 1