1. Airline A and Airline B operate in a local airport. 22% of all the flights that arrive at this airport are late. Airline A shares a certain amount of flights and Airline B runs the rest. If Airline A is late on 40% or its flights and Airline B is late on 10% of its flights. What percentage of the flights are run by Airline A?

2. Supposes $f(x)=\frac{3x^2-2x-16}{x+2}$. How many of the following statements is (are) true?
1) does not exist
2) does not exist
3) f(x) has a horizontal asymptote at x⁡=-2
4) f(x) has a removable singularity at x⁡=-2

3. A rectangle is formed by using part of the coordinate axes and point (m, n) on the function f(x)= $\sqrt{x+4}$ (- 4 < m < 0).

Which of the following is the maximum area of the rectangle?

4. If function f(x) is a differentiable function. The local minimum is occurred at c, then which of the following is true?

5. Find $f_x$ and $f_y$ where $f(x,y)=\cos (x^{2}y)+y^3$

6. If $a={\int }_0^{2\pi }{x}^{2}dx$, $b={\int }_0^{2\pi }{x}^{3}dx$, $c={\int }_0^{2\pi }\sin (x)dx$, then which of the following is ture?

7. Find the volume generated when $y=3x^2$ is rotated about the x-axis between x=1 and x=3

8. IF y satisfied the differential equation $2xy+6x+(x^2-4)\frac{dy}{dx}$, solve for y. When x=0, y=-4.

9. What is solution of $(1+i{)}^{15}$

10. If matrix A = $\left[\begin{array}{ccc}2& 5& 7\\ 1& 1& 1\\ 2& 1& -1\end{array}\right]$, what is determinant of A?