Deneme Sınavı Soruları

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

What is the Gini index of this country?

Find the following integral

1. Another important measure of income inequality is the Gini Index.
2. Gini index is twice the area between the line of perfect equality (y = x) and the Lorenz curve L(x).
3. The Gini index is always between 0 and 1.
4. When the Gini index is zero it means that everyone has the same income.
5. In the extreme case of Gini index being 1, a single individual receives all the income.

Which of the statements above related to the Gini index are correct?

Records indicate  that

months after the beginning of the year, the price of local milk  in market was  

What  was the average price of local  milk during the first   4 months  of the year?

Find the solution of the initial value problem

What is the indefinite integral of

1. Consumer surplus is derived whenever the price a consumer actually pays is less than they are prepared to pay.
2. A demand curve indicates what price consumers are prepared to pay for a hypothetical quantity of a good, based on their expectation of private benefit.
3. In a certain market, if a producer who is willing to sell a product at a certain price may sell the product higher than the price he asks, then he has increased his revenue, this extra amount gained is called the producer surplus (PS).
4. The producer surplus is the difference of the price the producer is willing to sell and the actual price he sells his product.

Which of the statements above related to the consumer surplus and the producer surplus are correct?

What is the area between the x-axis and the function

over the interval

What is the value of the integral ∫f(x)= ∫(x² + 2)² - 4x + 5 on the interval [-1,1]?

What is the average value of the function f(x)=x+4 in the interval (0, 4) for x?

What is the general solution of the differential equation

and h(x)=2x²+3. 

Which of the following statement corresponds to 

The supply curve of a certain product is given by

What is the producer surplus when 7 units of this product are sold?

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

What is the domain of f which is defined by y=f(x) and xy+y=8?

I. The antiderivative F of the function f will be found, i.e. ∫ f(x)dx = F(x), then, to evaluate the definite integral, the difference F(b)–F(a) will be calculated.

II. The antiderivative F of the function f will be found, i.e. ∫ f(x)dx = F(x), then, to evaluate the definite integral, the difference F(b)+F(a) will be calculated.

III. Let f be a continuous function defined on the interval [a,b] and let there be an antiderivative function F defined on the interval [a,b] such that F ' (x)=f (x). 

What can be said to be true about the fundamental theorem of calculus?

Let h(x)=2x²+ax-1 and h(2)=15. What is the value of "a" ?