Deneme Sınavı Soruları

I. Cramer’s rule is used to solve a system of linear equations in three unknowns with a nonsingular coefficient matrix.

II. The method of finding solutions of systems of linear equations using determinants of matrices is called the Cramer method.

III.  Cramer’s rule can be applied to the linear systems which consist of two unknowns or more than two unknowns.

What can be said to be true about Cramer's rule?

Which of the following is the solution of the system of linear equations

What is the maximum value of 

subject to the constraints x+4y≤1, x-y≤-4, x≤0, y≥0?

For the matrix game

which of the following is the sum of the lower and upper values?

Given the matrix game

which of the  following  is the equilirium pair?

Which of the following the maximum  value of     

subject to the conditions

Which one is an Eulerian walk in the following graph?

If

what is 

Which one of the following matrix is the inverse of the matrix ?

Which of the following goal functions yields the value 220 at the point  (11,8)?

Given the matrix game 

which of the following is equilibrium pair?

Plane diagram of a connected planar graph has 9 vertices and 7 regions. What is the number of edges of the graph?

What is the guaranteed value for Player I in the matrix game

if Player I chooses 2nd row?

If the supply function of a certain commodity is given by

what is the producer surplus when the price is 9TL ?

What is the future  value at

compounded continuously  for 5 years for the continuous income stream with a constant  rate of flow

A certain item is supplied according to the rule

and its prices for an amount of

units is 65TL. Compute the expected income.

What is the future value at %25 compounded continuously for 4 years for the continuous income stream with a constant rate of flow 

Which of the following is the value of the integral

Find the following integral

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?