Exam 6: Antiderivatives and Applications

Given the following graph of and the fact that , what is x = 100?

Use a definite integral to find the area under the graph of between and . Round to 2 decimal places.

Choose the function that would correspond to this graph of F'.

Propellant is leaking out from the pressurized fuel tanks of the space shuttle, causing the pressure to decrease at a rate of psi per second at time t in seconds. By how many psi has the pressure dropped during the first 30 seconds? Round to 2 decimal places.

Supply and demand curves for a product are given by the equations Demand: Supply: where p is price in dollars and q is quantity. Find the equilibrium price.

Supply and demand data are given in the following tables. Estimate the consumer surplus.

Find a possible antiderivative of , where a and b are constants.

The following figure shows the graph of . If and , find .

The following figure shows the demand and supply curves for a product. Estimate the equilibrium quantity.

Find .

If converges, find its value. Otherwise, enter "DNC".

A young couple wants to start a family in five years time. They plan to add an addition to their home in four years so it is ready when they start their family. They estimate that $ 130,000 will be needed in four years. They can earn 8% on an investment now. If the couple makes one lump sum deposit now in order to have $ 130,000 in four years, how much should they deposit.

Find the indefinite integral .

This figure shows the rate of change of F. Given that F(0) = 2, sketch the graph of F.

.

Using the following figure, find if and .

Evaluate .

A. Find the present value of an income stream of $1000 per year for a period of 5 years if the interest rate is 8%. Round to the nearest dollar. B. Find the future value of this income stream. Round to the nearest dollar.

If converges, find its value. Otherwise, enter "DNC".

Find .