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MAT110U

Mathematıcs II (ENG)

Deneme Sınavı Soruları

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  1. 1

    What is the guaranteed value for Player II in the matrix game

    if Player II chooses 3rd column?

  2. 2

    Find the determinant matrix of A?

  3. 3

    For the matrices, A = [2 3 , 5 6 ]2x2 and B = [1 3, 3 7]2x2what is the multiplication of these two matrices?

  4. 4

    Given that the points (1, 3), (0, 5), (6, 11), (7, 4), (12, 8) are the corner points of the constraint set, which of the following is the maximum value of the function f = 4x+9y?

  5. 5

    I. The optimal value of a linear goal function over polygone is attained at a corner point.

    II. The optimal value of a linear goal function over polygone is attained at an inner point.

    III. Any system of linear equations defines a polygone in the plane.

    Which of the above statements are true?

  6. 6

    Which of the following points belongs to the set specified by the inequality

  7. 7

    Which of the  following  is the point of intersection  of the lines given by

  8. 8

    Which of the following is the solution of the system of linear equations

  9. 9

    Given the matrix game

    which of the  following  is the equilirium pair?

  10. 10

    If

    to find the entries of the product matrix BA?

  11. 11

    Let H be a graph on 8 vertices with degrees 3, 3, 3, 3, 3, 3, 3, 3, 3. What is the number of edges of H?

  12. 12

    What is the solution of the system of linear equations below?

  13. 13

    I.  If there exists a square matrix A-1 such that A.A-1 = In = A-1.A, then the matrix A-1 is called the inverse matrix of A.

    II. If a matrix A has an inverse, A is called invertible if such an inverse does not exist, A is called singular.

    III. The inverse matrix can be defined for a nonsquare matrix also all square matrices possess inverses.

    What can be said to be true about inverse matrices?

  14. 14

    A radioactive isotope has a half-life of 4 days. You wish to have 20g at the end of 32 days. How much radioisotope should you start with? Round your answer to 1 decimal place.

  15. 15

    The supply curve of a certain product is given by

    . What is the producer surplus when 30 units of this product are sold?

  16. 16

    The rate of increase in the number of bacteria in a bacterial culture is proportional to the number of bacteria present. If number of bacteria in culture doubles in 5 hours, when will the number of bacteria reach to 16 times of the initial number?

  17. 17

    Which of the following is the general solution of the ODE

  18. 18

    I. A function F is called an antiderivative of f on an interval (a, b) if F' (x) = f (x) for all x in (a, b).

    II. The family of all antiderivatives of a function f, F(x)+ c is called the indefinite integral of f.

    III. The process of finding antiderivatives of a given function is called derivation.

    What can be said to be true about indefinite integrals?

  19. 19

    A country’s distribution of income is defined by the Lorenz curve

    What is the Gini index of this country?

  20. 20

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