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Seçmeli Ara Sınav - Mathematics 2

Soru 1:

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?

Soru 2:

What is the value of the definite integral

Soru 3:

Which of the following is the general solution of  the  ODE

Soru 4:

The supply curve of a certain product is given by what is the producer surplus when  10 units of this product are sold?

Soru 5:

Soru 6:

What is the area between the curves y=x 2 , y=2-x 2 ?

Soru 7:

What is the general solution of the differential equation

Soru 8:

For x≥0, what is the area between the curves

Soru 9:

"Integration is finding the antiderivative of a given function" According to explanation above, which of the following options indicates integrating the marginal cost function with respect to x?

Soru 10:

Calculate the area under the graph of on the interval

Soru 11:

Distribution of income of a country is given by the Lorenz curve What is the Gini index of this country?

Soru 12:

The supply curve of certain product is given by What is the producer surplus when units of this product are sold?

Soru 13:

If the marginal revenue for selling x units of a product is defined by What is the total revenue if the sale increases form 15 units to 30 units?

Soru 14:

Evaluate the integral

Soru 15:

Evaluate the definite integral

Soru 16:

Demand function of a commodity is given by  p=41-x 2 where x and p denote quantity and price, respectively. What is the consumer surplus at the price 5 ?