Seçmeli Ara Sınav - Mathematics 2

Soru 1:

Solve

A) B) C) D)

Soru 2:

Find the general solution

A) B) C) D)

Soru 3:

A company expects its income during the next 5 years to be modelled by Assuming an annual inflation rate of 12% what is the present value of this income?

A) 110.140 B) 110.434 C) 112.140 D) 112.434 E) 112.540

Soru 4:

For a continuous function then which of the following is the value of the integral

A) 3 B) 9 C) -1 D) 4 E) -2

Soru 5:

A) B) C) D)

Soru 6:

A radioactive isotope has a half-life of 15 days. How much amount of isotope should we start with if we want to have 55 g isotope at the end of 60 days?

A) 573 B) 673 C) 773 D) 873 E) 973

Soru 7:

Obtain the solution explicitly from the initial value problem

A) B) C) D)

Soru 8:

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

A) B) C) D)

Soru 9:

Which of the following functions is an antiderivative of

A) ex+lnx+6x2 B) ex+lnx+4x3 C) xex+xlnx+2x D) (xex+6x2).lnx

Soru 10:

Considering the toy mentioned above question supplied according to the rule what is the expected income?

A) 79 B) 125 C) 129 D) 139 E) 145

Soru 11:

What is the solution to the integral

A) B) C) D)

Soru 12:

What is the result of

A) B) C) x3+x+c D)

Soru 13:

What is the area between the curves

A) B) C) D)

Soru 14:

What is the solution to the integral ∫6x 2 ln(3x)dx?

A) B) C) D)

Soru 15:

Consider the following ODE subject to an initial condition

A) 2 B) 4 C) 5 D) 7 E) 9

Soru 16:

Evaluate the integral

A) 20 B) 40 C) 50 D) 60 E) 80

Soru 17:

What is the dolution of the initial value promlem

A) B) C) D)

Soru 18:

According to the graph of the function f given under, what is the value of the integral

A) B) C) D)

Soru 19:

Solve the differential equation

A) B) C) D)