Mathematics 2

Yanıt Açıklaması: minimum {-2,3,4}=-2, minimum {2,-1,0}=-1, minimum {3,-2,5}=-2, maximum {-2,-1,-2}=-1. This number -1 corresponds the 2nd row.

Yanıt Açıklaması: The integrating factor is So we multiply both side of the given equation by and we obtain

Yanıt Açıklaması: Maximum minimum Correct answer is D

Yanıt Açıklaması: In a game firs player chooses a row and second player chooses a column. Except E all the answers are false. The answer is E.

Yanıt Açıklaması: When ve consider the given matrix, we find minimum {3, 6, 5, 2, 0}=0. Hence the answer is C.

Yanıt Açıklaması: A weighted graph is a graph G, in which each edge e has been assigned a nonnegative real number w (e), called the weight of e. The weight of a graph is simply defined to be the sum of the weights of its edges. The weight of graph shown above is 1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18= 171.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 {2,1} = 2, minimum {4, 2, 7} = 2. There exists an equilibrium pair (1st row, 2nd column). The number 2, which lies in the intersection of 1st row and 2nd column, is the lowest in the 1st row, is the greatest in the 2nd column.

Yanıt Açıklaması: The number 7 is the lowest in 1st row and the greatest in 1st column. (1st row, 1st column) is the equilibrium pair.

Yanıt Açıklaması: Minimum {-1,2,3} = -1, minimum {0,-2,2} = -2, minimum {1,-3, 5} = -3, minimum {3, 2, 4} = 2. The maximum of the numbers -1, -2 and -3 is -1. The corresponding row is the first row. Hence the answer is A.

Yanıt Açıklaması: The point of intersection lies on both of the lines. Using this information one can write From the first equation we see that and from the second equation we get So the correct answer is C.

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

Yanıt Açıklaması: The maximum of  over the constraint set will occur at

Yanıt Açıklaması: Correct answer is D

Yanıt Açıklaması: The point (4,3) satisfies the system of inequalities Correct answer is E

Yanıt Açıklaması: Maximum Correct answer is C .

Yanıt Açıklaması: If in the game matrix, there exists an element which is smallest in its row and greatest in its column then this row-column pair is an equilibrium pair. For each row write the lowest element to the right, and for each column write the greatest element below the matrix: Now, observe that max {-7, -4, -2, -1} = -1 and min {-1, 0, 2} = -1. Therefore, (1st row, 2nd column) is an equilibrium pair. The correct answer is A.