Mathematıcs II (ENG)
Deneme Sınavı Soruları
- 20 soru
- Cevap anahtarı açık: çöz, sonucunu gör
- 1The demand curve of a certain product is given by
What is the consumer surplus when 16 units of this consume are sold? - 2
The profit function depending on the units produced is given as f(x)=3x2 for a factory. What is the average prfit fr the interval (2,6)?
- 3
Which of the following is the general solution of the ODE
? - 4
Calculate the upper sum

choosing the partition

of the interval

- 5
What is the general solution of the linear differential equation

- 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?
- 7
In a certain market, demand function is given by

and supply function is

for a certain product. What is the equilibrium point?
- 8
A radioactive isotope has a half-life of 4 days. You wish to have 20g at the end of 32 days. How much radioisotope should you start with? Round your answer to 1 decimal place.
- 9
What is the mean value of the function

- 10
A certain item is supplied according to the rule

and its prices for an amount of

units is 65 TL. Compute the producer surplus for this market.
- 11

- 12
Which of the following is the value of the integral

- 13
What can be said to be true about the properties of the definite integrals?
- 14
The supply curve of a certain product is given by

What is the producer surplus when 10 units of this product are sold?
- 15
What is the indefinite integral of

- 16

- 17
A bacteria population grows at a rate proportional to the present population. If the initial population of 10000 increases by %20 in 1 hour, what will be the population after 12 hours?
- 18
Which of the following is the function satisfying
and F(0)=2?
- 19

- 20
- One of the most fundamental concepts in economics is the law of supply and demand for a certain commodity or a service in a freemarket environment.
- The quantity of the commodity produced and sold may be described by two curves called the supply and demand curves for the particular commodity in question.
- Supply is the amount of a product per unit of time that producers are willing to sell at various given prices when all other factors are held constant.
- The demand is defined as the quantity of a commodity or a service that people are willing or able to buy at a certain price when all factors are held constant.
- Supply is the relation between the quantity of a product and the factors determining this quantity, and since there is a direct proportion, the supply function is an increasing function.
- The demand is in inverse proportion with the quantity supplied so the demand function is a decreasing function.
Which of the statements above related to consumer and producer surplus are correct?