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Seçmeli Ara Sınav - Mathematics 2

Soru 1:

Let Calculate the lower sum of  for the partition of the interval .

Soru 2:

Consider a town whose population grows at a rate proportional to the present population. If the initial population of 12000 increases by 20% in 12 years, what will be the population after 15 years?

Soru 3:

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?

Soru 4:

What is the average value of the function on the interval

Soru 5:

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.

Soru 6:

What is the general solution of the differential equation

Soru 7:

What is the present value of a continuous income stream at %2 compounded for 4 years if the rate of flow is

Soru 8:

Soru 9:

What is the mean value of the function

Soru 10:

If the marginal profit (in millions of TL per year) is given by, P'(t)=6t 2 -t+4, find the total profit earned over the first 4 years.

Soru 11:

Which of the following functions is an antiderivative of (x+1)e x ?

Soru 12:

Which of the following is the value of the integral

Soru 13:

What is the result of ∫(x+2)e x-8 dx?

Soru 14:

If the supply function of a certain commodity is given by , what is the producer surplus when the price is 13 TL?

Soru 15:

Which of the following is the mean value of the function between x=0 and x=3?

Soru 16:

Given that which of the following is f -1 (x)?

Soru 17:

Find the value of “a" which satisfies f(a)=13.