Deneme Sınavı Soruları

z = f(x, y) is defined implicitly by xz + yz – 1 = 0 ; ∂f / ∂x (-1, 2, 1) = ?

If then which of the following is the value of ?

Determine the set of continuity of the function f(x) = [(x - 3) / (x³ - 27)].

Suppose that the olive oil firm Zeytindali supplies 300 bottles onto the market when the price is 100 TL They provide 500 bottles when the price goes upto 150 TL. What is the slope of the supply function? 

If f (x ) = [(x² + 3x + 1) / (x⁵ + 5)], then what is the value of lim_x→∞ f(x)? 

Given that the demand function is p=60-x/3, the fixed cost 120 TL, and the variable cost for each item produced is 3 TL, what is the maximum profit?

Which of the following is the value of lim_x→1 [(x² +5x -12) / (2x - 8)]

The demand function of A is q (p) = 492 – 0.03 p² ; what is the price elasticity of demand when p = 20 ?

The private electric company EsLeki supplying electric to the citizens of Eskişehir has a monthly demand of p(x)=200-3x, where x corresponds to one kilowatt hour. The cost function of the company is given by C(x)=75+80x-x2, 0≤x≤40. What is  the value of x ?

lim_x→-∞ (10 x³⁹⁷ + 1) / (-2 x³⁹⁷ + 2 x³⁹⁶ – 1) = ?

If f: R→R,then, which of the following is true?

For the functions f: R→R, f(x)=x-1 and g: R→R, g(x)=(x+2)/4, what is the value of (f.g)(3)?

(80^1/2 / 25^1/2) . (20)^1/2 = ?

f : R → R, f(x) = 3 x² – 5. f ^–1(x) = ?

1. A ∪ B = (–1, 5)
2. A ∩ B = (2, 3)
3. A \ B = (-1, 2]

Let A = (-1, 3), B = (2, 5) be open intervals. Which of the statements above are correct?

Which of the following parabolas cross the x axis?

What is the solution set for the inequality x²-6x-16<0?