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MAT109U

Mathematıcs I (ENG)

Deneme Sınavı Soruları

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0 doğru · 0 yanlış · 20 kaldı
  1. 1

    Assume that labor demand function of a company is defined as L=300-2w where w denotes the hourly wage rate and L denotes the amount of labor hour demanded. For what level of wage rate will the labor cost be maximum for a company?

  2. 2

    Given that z=(x+y)2, y=u3 x=u2-u find the partial derivative dz/du

  3. 3

    Which of the following is the slope of the graph of  at the point (1, 1)?

  4. 4

    For x→0 and y→0 find lim(x2+3y2)/(x2-3y2).

  5. 5

    While approaching from the left limx→1 (x3 – 1) / (x – 1) = ?

  6. 6

    Find the 3rd derivative of f(x)=x3+lnx. (f'''(x)=?)

  7. 7

    What is the first derivative of function f(x)=x2ex

  8. 8

    The fixed costs of a product is 2750 TL, variable cost of one unit is 1,5 TL, and the selling price of the product is 3 TL. Which of the following is the break-even point?

  9. 9

    While approaching from the right limx→-2 |x + 2| / (x + 2) = ?

  10. 10

    While approaching from the right limx→1 (x2 - 1) / (x4 – 1) = ?

  11. 11

    f(x, y) = ey + yx2 – x – 1 ; ∂f / ∂y = ?

  12. 12

    Find the gradient of the function  at the point (-1, 2, 3)?

  13. 13

    Which of the following is the value of limx→5 7?

  14. 14

    Evaluate (32-3-2)/(32+3-2)

  15. 15
    1. Two real lines intersecting perpendicularly at both their zeros constitute the Cartesian coordinate system.
    2. The Cartesian coordinate system is a tool which enables us to view the graphs of functions.
    3. In the Cartesian coordinate system, the horizontal real line is called the x-axis, or abscissa,
    4. In the Cartesian coordinate system, the vertical real line is called the y-axis, or ordinate.
    5. We call the point of intersection of the number lines as the origin in the Cartesian coordinate system.

    Which of the statements above regarding to graphs of functions is/are correct?

  16. 16

    Which of the following functions is(are) a polynomial(s) of degree 1?

    I-   f(x)=2

    II-  g(x)=2x

    III- h(x)=2/x

    IV-  k(x)=x/2

  17. 17

    A = {a, b, c, d}, B = {b, c, e, f}, C = {c, d, e, g}. {b} = ?

  18. 18

    Which of the following is the point of intersection of the lines y=3x-14 and y=-x-2?

  19. 19

    Which of the following is the intersection of intervals (-1/3, 4] and [-1, 7/2)?

  20. 20

    Write a = -3, b = -1/2, c = - 5/3, d = 3/2 in increasing order?

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