The point (6,9) satisfies the inequality

Correct answer is A

Only I is true , II and III are false.
The correct answer is C.

The pair

satisfies only the equations

while this pair  does not satisfy the equations of the remaining systems simultaneously.

Correct answer is  E .

2x+5=13 ⇒ 2x=8⇒ x=4.

If the Player II chooses the 3rd column, the guaranteed value for him will be the maximal element among {2, -8, -2, 0, -7} which is 2. The correct answer is D.

If player II chooses 3rd column he guarantees lost 6, which is maximal among {3, -2, 6}. Hence the correct answer is E.

The lower value is the guaranteed result for Player I, the upper value is the guaranteed result for Player II. Player II, by choosing a column, minimizes the obtained element. Considering this, player needs to analyze each column to find the upper value on each column and then choosing the minimum among those numbers will give him the result. Each column has the upper value 5 and 6 respectively. So min {5,6}=5 is obtained hence the correct answer is D.

We can calculate the matrices

   and as follows:

First, we must find q₀:

We use method of integration by parts by taking u=ln(x²) and dv=x²dx. Then we have

and

Hence we get

Hence, the inverse matrix of is evaluated as 

We multiply the second equation by 2, then the linear equations become

Now we add the equations to eliminate the term

 then one gets

If we back-subsitute

into the equations

we obtain

Then these lines intersect at the point

We solve this integral by using integration by parts.

By applying change of variable w²=x then 2wdw=dx we have

If we turn to the solution of the question 6, we clearly see that  

Hence we obtain (remembering w²=x and so w³=x√x )

The   maximum of the numbers -5,6,-1,1  is 6 .The corresponding row is the 2 nd row.  Correct answer is D.

Multiply both sides of the second equation by 2 and add to the first equation, to obtain

From the second equation 

The correct answer is E.

doğrusal şifreleme fonksiyonunun deşifre fonksiyonu

şeklindedir. Burada

olacak şekildeki bir sayıdır

olduğundan deşifre fonksiyonu

olur. Buradan doğru cevap A’dır.

(x²+2x+5)'=2x+2