Deneme Sınavı Soruları

A function f is given by the rule f(2x+5)=x³ for all real numbers x. Which of the following is f(13)?

then what is the value of L₄(f) for the partition 

Find the area between line y=6-x²+x and x-axis.

Solve the differential equation

What is the area between the curves

A certain item is supplied according to the rule

and its prices for an amount of q₀ units is 56TL. Compute the expected income?

I. The calculation of areas of planar regions bounded by given curves was achieved through a method called the method of exhaustion by inscribing and circumscribing the region in question by polygons the areas of which were either known or were easy to calculate.

II. Archimedes (B.C. 287-212) used this method to calculate the area of a circle (disk) by inscribing and circumscribing the circle with polygons. 

III. The area of a bounded region determined by the graph of the function y=f (x). We assume that the function f (x) is defined and continuous on a closed interval [a,b], and it is also negative, i.e. f (x) ≤ 0. 

What can be said to be true about area problems?

If you plan to deposit 1200 TL per year continuously into an account that pays 6% annual interest compounded continuously, what would be the amount in the account at the end of 10 years?

A White goods company produces refrigerators at a number of 

units with a marginal cost

If it costs 11200 to produce 10 units of refrigerators, what is the fixed cost?

The graph of the function

is given below. Evaluate the value of the integral

Suppose that a company manufactures a certain type of machine, and it estimates that each machine will generate a continuous income stream whose rate in the th year of operation will be 15 −  2t  million TL per year. Assuming that the lifetime of a machine is about 7 years and that the money can be invested at the annual rate of 8%, compounded continuously, find the fair market price of each machine.

What is the general solution of the differential equation

What is the area between the x-axis and the graph of the function

over the interval [-2, 1]?

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?

What is the area between function f(x)=x², the lines y=9, x=0, x=3 and y-axis?

Solve the differential equation

What is the solution of the differential equation