When you some up the weights of the edges 6+2+3+5+4+3+2+1=26. Answer is B.

If

is a matrix of type of

and

is a matrix of type of

 then the type of the product matrix

Substituting

into suggested equations, we find that the only equation that is satisfied is (B).

The correct answer is B.

If two matrices are equal then their components must be equal. From this we see that

and

So the correct answer is A.

We’ll use the method of integration by parts to find this integral. Let u=x³ and e^xdx=dv then du=3x²dx and e^x=v. Thus we have

We need again method of integration by parts to evaluate ∫x²e^xdx. Let u=x² and dv=e^xdx which means du=2xdx and v=e^x. Hence 

and similarly we have

Thus, we obtain 

and finally we get

We need to substitute each and every point into the inequalities. Observe that for the point (1, 5) if we insert this point into first inequality we see that

is not true. For the point (1, -5) if we insert this point into the second inequality we see that

is not true. For the point (3, 3) if we insert this point into the first inequality we see that

is not true. For the point (4, -2) if we insert this point into the second inequality we see that

is not true. The point (3, -2) satisfies all there inequalities because

Hence the correct answer is B.

For each row write the lowest element to the right and for each column write the greatest element  below the matrix

Maximum

There exists an equilibrium  pair  ( 2 nd row 2 nd  column) the number 1 , which lies in the intersection of 2 st row, 2 st column is the lowest in the 2 st row, is the greatest in the 2 st column.

Correct answer is  E .

For the goal function

The correct answer is B.

Kuvvet fonksiyonu ile şifrelemede gönderici

sayısını şifreleyip göndermek için

sayısı olan

hesaplar. Buna göre

olduğundan doğru cevap E’dir.

Only the point (2,2) satisfies all the given inequalities:

The correct answer is A

In any graph, the sum of all the degrees is equal to twice the number of edges, we have 3+1+4+2+2=12=2|E|, which gives |E|=6. The correct answer is E.

 The matrix

consists of four rows and two columns.

 Correct answer is  E .

Minimum

The number 0 corresponds to the 2 nd column.

Correct answer is E.

The point (-5,3) do the job.

The coefficient matrix of the system of linear equations is

and the detreminant of this matrix is

The other matrices we use in the Cramer’s rule are

and their determinats are

Then the solution is

Therefore the correct answer is the B option.

We should evaluate the intersection point of corresponding lines for each choice. One can see easily that all four systems of inequalities determine regions all of which have the corner point

except the choice C. The system of equations corresponding to the system given in C

has the intersection point at