Seçmeli Ara Sınav - Mathematics 2

Soru 1:

Find the integral

A) B) C) D)

Soru 2:

Given that is constant function, find the value of f(2017).

A) 16 B) 2 C) 4 D) 0 E) 2017

Soru 3:

Evaluate the indefinite integral

A) (lnx)2+c B) (ln(lnx))2+c C) lnx2+c D) ln(lnx)+c E) (ln(lnx2))2+c

Soru 4:

Which of the following is the general solution of the ODE

A) B) C) D)

Soru 5:

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

A) B) C) D) (0,1) E) (-∞,1)

Soru 6:

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

Soru 7:

and h(x)=2x 2 +3. Which of the following statement corresponds to

A) -x2+9x-8 B) -x2-9x+8 C) 7x2+x-6 D) 5x2+9x-2 E) -x2-9x-8

Soru 8:

Consider the following ODE subject to an initial condition subject to an initial condition y(5)=1000, C=?

A) 100 B) 200 C) 250 D) 300 E) 350

Soru 9:

What is the solution of the initial value problem with the initial value y(0)=1?

A) B) C) D)

Soru 10:

If the marjinal revenue for selling units of a product is defined by what is the total revenue if the sale increases from 5 units to 10 units?

A) 287,5 B) 250,4 C) 235,3 D) 225,7 E) 110,1

Soru 11:

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

A) B) C) D)

Soru 12:

A consumer is willing to pay 150000 for a new certain model of car of which demand function is If this consumer is able to buy this car for a price 145.500, then what is the consumer surplus?

A) 15000 B) 20000 C) 25000 D) 30000 E) 35000

Soru 13:

A unit change in the production cost of a computer produced at a number of x units is given by C' (x) = If the number of computers to be produced increases from 100 to 300, find the increase in the total cost?

A) 90000 B) 92500 C) 94000 D) 96000 E) 96400

Soru 14:

What is the area of the plane region bounded by the graphs of on the interval

A) B) C) D)

Soru 15:

The supply curve of a certain product is given by What is the producer surplus when 40 units of this product are sold?

A) 520 B) 525 C) 510 D) 515 E) 530

Soru 16:

A radioactive isotope has a half-life of 4 days. You wish to have 10g at the end of 16 days. How much radioisotope should you start with? Round your answer to 1 decimal place.

A) 25 B) 25,2 C) 27 D) 27,2 E) 29

Soru 17:

What is the solution to the integral

A) B) C) D)

Soru 18:

Calculate the Gini index for the Lorenz function

A) 1/4 B) 1/5 C) 1/6 D) 1/7 E) 1/8

Soru 19:

What is the solution of the initial value problem

A) B) C) D)