is the first order ODE with constant coefficent. The particular solution is the form of  

  Substuting

in the equation we

and

The correct answer is E.

A tree with n edges has n+1 vertices and it is both connected and plane diagram. Answer is E.

The chromatic number of any bipartite graph with at least one edge is 2. Then

Answer is B.

Player II, by choosing a column, minimizes the obtained element. The greatest elements of the columns are 2, 4 and 3 respectively. The smallest among these values is 2 which corresponds to the 1^st column that is the minimax strategy will be 1^st The correct answer is C.

Since

we obtain

Hence

The matrix above consists of 3 rows and 2 columns, which tells us it is a

matrix. The correct answer is D.

If Player I chooses 2d row he guarantees win -8, which is minimal among {-8, -2, 5}. Hence the correct answer is A.

the correct answer is E.

Since

then

is obtained.  Since

is given, we  should have

From this equation one has

Then answer is  

We need to calculate the integral of the production rate over the interval 1 ≤ t ≤ 3 which gives

Therefore the correct answer is the E option.

Minimum

Correct answer is A

We need to check every point in the options if they satisfy the given inequality. Observe that for the point (1, -1) we have

So the correct answer is C.

Correct answer is C.

The number 2 from the second row is the lowest in the row, and the greatest in the third column.(2nd row, 3rd column) is the equilibrium pair.

Correct answer is D  .

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