Deneme Sınavı Soruları

Suppose the total cost function is 200+2x²+4x and total revenue function is 350-x²+19x, where x denotes the production amount for a company. For what value of x is the break even point?

Suppose the supply and demand functions for crackets are defined as S(p)=30+20p and D(p)=150-10p where p denotes its price. For which of the following price there exists an excess demand? 

lim_{x→0, y→0} (x² + xy + y²) / (x + xy + y) = ?

The demand function of A is p = 60 – 3 x / 4, the fixed cost is 120 TL, and the variable cost is 10 TL for each units produced ; which of the following is the profit function ?

Which of the following is the value of ?

What is the equations of a tangent plane for a function f (x, y) = x²+3y² at a point (x, y) = (1, 1)?

Which of the following functions is continuous at x=0?

What is the shortest distance between the point P(0, -4) and the line y = x ?

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

Which of the following functions is monotone increasing in interval (-∞, +∞) | x ≠0?

A company has a new product and they predict their demand function for this product as a; 

and supply function as a;

What is the market price for this product would be?

lim_x→-1 (x³ – x⁰) (x – 1) = ?

Which of the following function' s root is 0?

f : R → R, f(x) = 5 x³ + x – 2. f(-1) = ?

Given that a < b < c and all a, b, and c are real numbers, which of the following equals to the expression |b - a| + |a - c| ?

What is the solution set of the exponential equation ?

Let A = [0, 5], B = [1, 7), and C = (2, 8). Find C \ (A ∪ B).

1000 TL is deposited in a bank account which yields 20 % interest rate on annual base. What will be the interest earning over this account after 3 years?