Deneme Sınavı Soruları

Which of the following is the value of the integral

The management of a national change of market outlets is selling a 10 year franchise in Turkey. Past experience in similar localities suggest that t years from now the franchise will be generating profit at the rate of f (t) = 18000 TL per year. If the prevailing annual interest rate remains fixed at 10% compounded continuously, what is the present value of the franchise? 

Evaluate the indefinite integral

What is the solution of the initial value problem 

What is the indefinite integral of

Money transferred continuously into an account at the constant rate of 2000 TL per year. The account earns interest at an annual rate of 10% compounded continuously. How much money will there be in the account at the end of 4 years?

Calculate the Gini index for the following Lorenz function

What is the general solution of ?

What is the area under the graph of

on the interval on the interval

A certain item is supplied according to the rule S(q)=and its prices for an amount of units is 130 tl. What is the expected income?

If the marginal revenue for selling x units of a product is defined by

What is the total revenue if the sale increases from 10 units 20 units?

Which of the following is the function satisfying

and F(0)=2?

1. 0 ≤ L(x) ≤ 1: because L(x) corresponds to a percentage
2. L(0) = 0: because no income is earned when no one is employed
3. L(1) = 1: because 100% of the income is earned by 100% of the people
4. L(x) ≤ x : because the lowest-paid 100x% of people cannot receive more than 100x% of total income

The Lorentz curve has which of the properties above?

A country’s distribution of income is defined by the Lorenz curve

What is the Gini index of this country?

A unit change in the production cost of a house built at a number of x units is given by C' (x) =

If the number of houses to be built increases from 2 to 4, find the increase in the total cost

Which of the following equations has the particular solution 

Calculate the Gini index for the following Lorenz function