Mathematics 2

Yanıt Açıklaması: The only thing we need to do in this question is to calculate the integral of the production rate over the interval 1≤t≤3. So,

Yanıt Açıklaması: The inverse of the matrix can be found with the formula For the inverse of the matrix becomes Hence the correct answer is B.

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Yanıt Açıklaması: Since dy=(x 2 +1)dx  by integrating we have Hence, is a solution of given equation.

Yanıt Açıklaması: We need to solve the equations two at a time. Observe that For the point (0, -2) if we insert this point into fourth inequality we see that is not true. Also for the point (6, 0) if we insert this point into the first inequality we see that is not true. Therefore the points (0, -2) and (6, 0) do not belong the constraint set. The corner points for the constraint set are (0, 3), (3, 0), (0, 0) and (30/7, 6/7). Now, to find the maximum value we need to substitute each corner point to the goal function. Observe that for the point (0, 0) we have maximum point is 15 and the correct option is A.

Yanıt Açıklaması: Multiply the second  equation by -2 and  add to first equation The intersection points are The points  (2,0) and (0,4)  do not belong to the constrained set. The corner points of the constraint set are Correct answer is C

Yanıt Açıklaması: The coefficient matrix of the given linear system is The determinant of this matrix is Hence the correct answer is E.

Yanıt Açıklaması: For the point (10, 4), F = 10x + 5y = 10.10 + 5.4 = 120

Yanıt Açıklaması: Multiply both sides of the second equation by -5 and add to the first equation Correct answer is  E .

Yanıt Açıklaması: To find the maximum value we need to substitute each corner point to the goal function. Observe that for the point (0, 0) we have for the point (5, 0) we have for the point (0, -2) we have for the point (3, -2) we have Hence the maximum point is 20 and the correct option is D.

Yanıt Açıklaması: A tree is a graph which is connected and contains no cycles. Every tree on n vertices has exactly n-1 edges and the number of labelled trees on n vertices is by Cayley’s theorem. Now if we write n=4, we get 4^2=16. The correct answer is C.

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Yanıt Açıklaması: Since the inverse of a matrix the inverse of

Yanıt Açıklaması: Because the intersection point of these lines is the point must also provide both  of the equations. Hence we obtain Then one gets

Yanıt Açıklaması: Equation of the line that passes through Given region is the solution set of the inequality

Yanıt Açıklaması: Using the formula for the present value of money we write Correct answer is C

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Yanıt Açıklaması: doğrusal şifreleme fonksiyonunun deşifre fonksiyonu şeklindedir. Burada olacak şekildeki bir sayıdır O halde olması gerekir. Buradan doğru cevap B’dir.

Yanıt Açıklaması: Even though the second week comleted in the league. The team “e” has played only one game. So one of the team “a” game is postponed. Actually the game between “e” and “h” is postponed.