Mathematıcs I (ENG)
Deneme Sınavı Soruları
- 20 soru
- Cevap anahtarı açık: çöz, sonucunu gör
- 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
Given that z=(x+y)2, y=u3 x=u2-u find the partial derivative dz/du
- 3
Which of the following is the slope of the graph of
at the point (1, 1)? - 4
For x→0 and y→0 find lim(x2+3y2)/(x2-3y2).
- 5
While approaching from the left limx→1 (x3 – 1) / (x – 1) = ?
- 6
Find the 3rd derivative of f(x)=x3+lnx. (f'''(x)=?)
- 7
What is the first derivative of function f(x)=x2ex
- 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
While approaching from the right limx→-2 |x + 2| / (x + 2) = ?
- 10
While approaching from the right limx→1 (x2 - 1) / (x4 – 1) = ?
- 11
f(x, y) = ey + yx2 – x – 1 ; ∂f / ∂y = ?
- 12
Find the gradient of the function
at the point (-1, 2, 3)? - 13
Which of the following is the value of limx→5 7?
- 14
Evaluate (32-3-2)/(32+3-2)
- 15
- Two real lines intersecting perpendicularly at both their zeros constitute the Cartesian coordinate system.
- The Cartesian coordinate system is a tool which enables us to view the graphs of functions.
- In the Cartesian coordinate system, the horizontal real line is called the x-axis, or abscissa,
- In the Cartesian coordinate system, the vertical real line is called the y-axis, or ordinate.
- 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
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
A = {a, b, c, d}, B = {b, c, e, f}, C = {c, d, e, g}. {b} = ?
- 18
Which of the following is the point of intersection of the lines y=3x-14 and y=-x-2?
- 19
Which of the following is the intersection of intervals (-1/3, 4] and [-1, 7/2)?
- 20
Write a = -3, b = -1/2, c = - 5/3, d = 3/2 in increasing order?