Deneme Sınavı Soruları

A famous shoe company will launch a new shoes model. The production rate of the new model, after weeks, is given by the function 

where x denotes the quantity of shoes produced. How many shoes will be produced from the beginning of the first week to the end of the third week?

What is the area under the graph of f(x)=x²+2 on the interval 

Find the solution of initial value problem

What is the value of

What is the average value of the function f(x) = 6x² + 2x  on the interval [1,3] ?

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 20 units?

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?

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?

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?

Solve the following ODE (ordinary differential equation)

I. ∫kdx = kx + c

II. ∫x^rdx = x^{r -1}/r - 1 + c

III. ∫1/x .dx = lnx +c , x>0

Which of the given basic rule can be said to be true?

Which of the following functions is an antiderivative of 2x+2?

Which of the following is a solution of the initial value problem , y(0)=1?

Assume that marginal cost function for product x is given by MC=12x+2. What will be the total cost function if the total cost of producing the first product is 28.

1. The consumer surplus is the difference between the price a consumer is willing to pay and the actual price he pays.
2. A decrease in the equilibrium price increases the consumer surplus.
3. While consumers pay less than they were willling to pay, new producers also join the market.
4. On the contrary, as the market price increases the consumer surplus decreases.

Which of the statements above related to the consumer surplus are correct?

Which of the following functions is an antiderivative of

If the marginal profit (in millions of TL per year) is given by,
P'(t)=6t²-t+4, find the total profit earned over the first 4 years.

1. 0 ≤ L(x) ≤ 1: because L(x) corresponds to a percentage
2. L(0) = 0: because no income is earned when no one is employed
3. L(1) = 1: because 100% of the income is earned by 100% of the people
4. L(x) ≤ x : because the lowest-paid 100x% of people cannot receive more than 100x% of total income

The Lorentz curve has which of the properties above?