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,

The inverse of the

matrix

can be found with the formula

For

the inverse of the matrix becomes

Hence the correct answer is B.

Since dy=(x²+1)dx  by integrating we have

Hence,

is a solution of given equation.

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.

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

The coefficient matrix of the given linear system is

The determinant of this matrix is

Hence the correct answer is E.

For the point (10, 4),

F = 10x + 5y = 10.10 + 5.4 = 120

Multiply both sides of the second equation by -5 and add to the first equation

Correct answer is  E .

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.

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.

Since the inverse of a matrix

the inverse of

Because the intersection point of these lines is

the point

must also provide both  of the equations. Hence we obtain

Then one gets

Equation of the line that passes through

Given region is the solution set of the inequality

Using the formula for the present value of money we write

Correct answer is C

Since the inverse of a matrix

is

the inverse of

is

doğrusal şifreleme fonksiyonunun deşifre fonksiyonu

şeklindedir. Burada

olacak şekildeki bir sayıdır

O halde

olması gerekir. Buradan doğru cevap B’dir.

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.