MAT110U
MATHEMATICS II - Deneme Sınavı - 13
Ara Sınav
51856
Soru 1
Demand function of a commodity is given by p=41-x2 where x and p denote quantity and price, respectively. What is the consumer surplus at the price 5 ?
Soru 2
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?
Soru 3
The Lorenz curve for the distribution of income in a certain country is defined by
What is the Gini index of this country?
Soru 4
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.
P'(t)=6t2-t+4, find the total profit earned over the first 4 years.
Soru 5
The marginal revenue obtained from the sale of product Z is given by R'(x)=2x-24. If the fixed cost is 180TL, how many units Z should be sold to gain 36TL?
Soru 6
Records indicate that t monhts after the beginning of the year, the price of gum in a certain market was
What was the average price of gum during the first 3 months?
Soru 7
Which of the following is the Gini index for the given Lorenz curve
Soru 8
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?
Soru 9
Which of the followings is a solution of the differential equation
Soru 10
What is the general solution of the differential equation
Soru 11
What is the solution of the initial value problem
with the initial value y(0)=1?
Soru 12
What is the general solution of the differential equation
Soru 13
What is the general solution of the linear differential equation
Soru 14
What is the solution of the initial value problem
with the initial value y(1)=1?
and we obtain
Soru 15
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?
Soru 16
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?
Soru 17
What is the general solution of
Soru 18
What is the solution of the initial value problem
Soru 19
Soru 20
