Deneme Sınavı Soruları

Calculate the Gini index for an income distibution if the Lorenz curve function is given by L(x)=x²

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?

What is the general solution of

Evaluate the integral

What is the result of 

What is the result of ∫x²ln(x²)dx?

Find the general solution of

Which of the following is the mean value of the function

between

Evaluate the integral 

Find the following integral

Which of the following is the general solution of the ODE 

I. The definite integral of a function is a real number.

II. The numbers a and b are called the lower and upper limits of the integral.

III. The variable the integral is calculated, dx, is called the integrand

What can be said to be true about definite integrals?

From the fundamental rules of integration which is the rule that states ?

Solve

Solve the differential equation

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?

What is the area bounded by the graphs of the functions

on the interval

Money transferred continuously into an account at the constant rate of 1800 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 2 years?