Seçmeli Ara Sınav - Mathematics 2

Soru 1:

What is the general solution of

A) B) C) D)

Soru 2:

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 to 20 units?

A) 1200 B) 1300 C) 1400 D) 1500 E) 1600

Soru 3:

The marginal revenue obtained from the sale of product Z is given by R'(x)=2x-24. If the fixed cost is 180TL, how many units Z should be sold to gain 36TL?

A) 10 B) 12 C) 20 D) 24 E) 30

Soru 4:

Let is the continuous function and Which of the following is the value of the integral

A) 1 B) 5 C) 7 D) 12 E) 13

Soru 5:

A) B) C) D)

Soru 6:

evaluate the upper Riemann sum for the partition

A) B) C) 1 D) 2

Soru 7:

Evaluate the integral

A) 15 B) 5 C) 25 D) 50 E) 100

Soru 8:

If the supply function of a certain commodity is given by what is the producer surplus when the price is 9TL ?

A) B) C) D)

Soru 9:

What is the result of

A) ln(16x)+c B) ln(8x2)+c C) ln(8x2+2)+c D)

Soru 10:

According to the graph of the given, what is the value of the integral

A) -1 B) 1 C) -2 D) 3

Soru 11:

What is the valve of

A) 10 B) 100 C) 1000 D) 10000 E) 100000

Soru 12:

Suppose the market for grain is described by the given equations S(q) and D(q), where the supply is and the demand is What is the consumer surplus for this model?

A) 0 B) 1 C) 2 D) 3 E) 4

Soru 13:

Calculate the Gini index for the following Lorenz function

A) 7/12 B) 7 C) 4 D) 4/7 E) 2

Soru 14:

What is the value of

A) B) C) D)

Soru 15:

The rate of increase in the number of bacteria in a bacterial culture is proportional to the number of bacteria present. If number of bacteria in culture doubles in 5 hours, when will the number of bacteria reach to 16 times of the initial number?

A) 20 B) 18 C) 16 D) 12 E) 10

Soru 16:

A radioactive isotope has a half-life of 4 days. You wish to have 20g at the end of 32 days. How much radioisotope should you start with? Round your answer to 1 decimal place.

A) 35,2 B) 37,7 C) 42,5 D) 47,6 E) 52,5

Soru 17:

A country’s distribution of income is defined by the curve What is the Gini index of this country?

A) B) C) D)

Soru 18:

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

A) 28000 B) 40000 C) 60000 D) 68000 E) 73000