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Seçmeli Ara Sınav - Mathematics 2

Soru 1:

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?

Soru 2:

Evaluate the integral

Soru 3:

Find the solution of the initial value problem

Soru 4:

Evaluate the indefinite integral

Soru 5:

Soru 6:

What is the area under the graph of on the interval on the interval

Soru 7:

What is the future value at %15 compounded continuously for 3 years for the continuous income stream with a constant rate of flow f (t) = 3500?

Soru 8:

Find the following integral

Soru 9:

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 10:

Suppose the market for wheat is described by the graph below, where the supply is and the demand is what is the consumer surplus for this model?

Soru 11:

What is the solution to the integral

Soru 12:

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?

Soru 13:

Which of the following expressions  is first order differential equation ?

Soru 14:

A textile company is faced with the demand function D(t)=(t+7) 2 +90 for their product of sweat. If consumers are willing to buy 5 unites of this sweat, what is the total utility of maximum price?

Soru 15:

Evaluate the definite integral of the function on the interval using the partition

Soru 16:

What is the indefinite integral of

Soru 17:

What is the Gini index for the Lorenz function

Soru 18:

The supply curve of a certain product is given by . What is the producer surplus when 30 units of this product are sold?