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Seçmeli Ara Sınav - Mathematics 2

Soru 1:

Solve the following ODE (ordinary differential equation)

Soru 2:

The present population of a city is 800.000 and its population grows at a rate proportional to the present population, increases by 10% in 5 years. What will be the population after 12 years?

Soru 3:

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?

Soru 4:

The Lorenz curve for the distribution of income in a certain country in 1986  is given in Figure. What is the Gini index for this mode?

Soru 5:

Which of the following is the value of the integral

Soru 6:

Find the following integral

Soru 7:

what is the value of the composition

Soru 8:

Which of the following functions is the antiderivative of

Soru 9:

What is the value of

Soru 10:

A White goods company produces refrigerators at a number of units with a marginal cost If it costs 11200 to produce 10 units of refrigerators, what is the fixed cost?

Soru 11:

A type of toy is supplied according to the rule and units of this toy are sold at a price of 79 TL. What is the produces surplus?

Soru 12:

The demand curve of a certain product is given by What is the consumer surplus when 16 units of this consume are sold?

Soru 13:

Evaluate the indefinite integral

Soru 14:

Find the general solution of

Soru 15:

Marginal revenue that is obtained from the sale of a product is given by If the fixed cost is 326 TL, how many units of is sold to gain 750 TL?

Soru 16:

What is the solution of the initial value problem

Soru 17:

What is the area under the graph of on the interval

Soru 18:

Find the general solution  of