Deneme Sınavı Soruları

What is the result of 

Let

is the continuous function and 

Which of the following is the value of the integral

What is the antiderivative for the function

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

on the interval

1. One of the most commonly used method to measure the distribution of income is the Lorenz curve.
2. Developed in 1906 by Max Lorenz, the Lorenz curve is a graphical representation of the distribution of wealth, or of income.
3. To construct the Lorenz curve, first, people in society or the households are sorted from the lowest income group to the highest.
4. Then, the total portion received from the total income by a number of a group at an arbitrary income level or lower is calculated.
5. If this process is repeated for each income level, the graph of the curve can be constructed, the function y = L(x) which is referred to this curve is called the Lorenz Function.

Which of the statements above related to the Lorentz curve are correct?

What is the area between function f(x)=x² and the line y=5x?

1. One important use of calculus in business and economics is marginal analysis.
2. Marginal cost, marginal revenue and marginal profit all involve the rates of change of the profit, revenue and cost with respect to the number of units of a certain commodity produced or sold.
3. Marginal cost, marginal revenue and marginal profit are defined to be the first derivative of a “total function”.
4. Since integration is finding the antiderivative of a given function, i.e. finding the function whose derivative is given the total functions may be found without much difficulty by integrating the marginal functions.

Which of the statements above related to derivation of total function from marginal function are correct?

Which of the following is the general solution of the ODE

Evaluate the integral

If the supply function of a certain commodity is given by

, what is the producer surplus when the price is 13 TL?

Evaluate the integral 

What is the area of the region between the curve

axis where

"Integration is finding the antiderivative of a given function"

According to explanation above, which of the following options indicates integrating the marginal cost function with respect to x?

Which of the following is the value of the integral

What is the present value of a fixed income of 10000 TL for 10 years from now on if the interest rate is 10 %?