Deneme Sınavı Soruları

What is the value of

Find the area between lines y=6-x and y=x for non-negative values of x.

Which of the following functions is the antiderivative of f(x)=x+1 with F (1) = 5 ?

Which of the following is a general solution of the differential equation

1. The notions of indefinite and definite integrals both of which have widespread applications in economics.
2. In marginal analysis, the quantities are differentiated to obtain the rate of their changes.
3. Using the integral we may acquire the totality of the functions such as cost, revenue, profit and so on.
4. Integration may be used to calculate the total income during a given period from a continuous income stream, the consumer and producer surplus, and present and future values of a continuous stream of payments, to name but a few.

Which of the statements above related to the applications of integral in economics are correct?

What is the general solution of the differential equation

If the function

on the interval

then what is the value of

What is the antiderivative of ∫ 2 lnx dx equal to?

What is the area between the curves y=x², y=2-x²?

What is the solution of the initial value problem , y(0)=2?

Consider a town whose population grows at a rate proportional to the present population. If the initial population of 10000 increases by 10% in 5 years, what will be the population after 10 years?

Find the general solution

Which of the following features about Lorenz function is false?

6. A company expects its income during the next 5 years to be modelled by the function I(t)=200000+50000t. Assuming an annual inflation rate of 20%, what is the present value of income? 

What is the solution of the initial value problem

What is the solution of the differential equation