Mathematics 2

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

Yanıt Açıklaması: If is a matrix of type of and is a matrix of type of then the type of the product matrix

Yanıt Açıklaması: Substituting into suggested equations, we find that the only equation that is satisfied is (B). The correct answer is B.

Yanıt Açıklaması: If two matrices are equal then their components must be equal. From this we see that and So the correct answer is A.

Yanıt Açıklaması: We’ll use the method of integration by parts to find this integral. Let u=x 3 and e x dx=dv then du=3x 2 dx and e x =v. Thus we have We need again method of integration by parts to evaluate ∫x 2 e x dx. Let u=x 2 and dv=e x dx which means du=2xdx and v=e x . Hence and similarly we have Thus, we obtain and finally we get

Yanıt Açıklaması: 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.

Yanıt Açıklaması: 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 .

Yanıt Açıklaması: For the goal function The correct answer is B.

Yanıt Açıklaması: Kuvvet fonksiyonu ile şifrelemede gönderici sayısını şifreleyip göndermek için sayısı olan hesaplar. Buna göre olduğundan doğru cevap E’dir.

Yanıt Açıklaması: Only the point (2,2) satisfies all the given inequalities: The correct answer is A

Yanıt Açıklaması: 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.

Yanıt Açıklaması: The matrix consists of four rows and two columns. Correct answer is  E .

Yanıt Açıklaması: Minimum The number 0 corresponds to the 2 nd column. Correct answer is E.

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

Yanıt Açıklaması: 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

Yanıt Açıklaması: Therefore the correct answer is the B option.

Yanıt Açıklaması: 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