Deneme Sınavı Soruları

If the demand function of a particular commodity is given by p(q)=350-(q/5) what is the price when the demand is of unit elastic?

A car moves along a road in such a way that its position at time t is f(t) = t³ + t² + t (metre). What is the velocity of the car at the instant t=2 equal to?

For the function f(x)=x²-4x+12 which of the followings is correct?

A particle moves along the x-axis in such a way that its position at time t is . Find the average velocity over the interval [1, 3].

Suppose that the demand function is p=100-2x for quantity produced (x) in a factory, where p denotes the price. What will be the marginal revenue for 6th product?

Given function f(x) = (x+1)(3-x), find the local maximum value for this function

A rectangular land plot has a perimeter of 200 metres. What is the possible largest are of this land plot in squaremeters?

While approaching from the left lim_x→1 |x – 1| / (x – 1) = ?

Which of the following is the value of lim x→1 (2x³+x-12)/(5x-9)

The mobile phone manufacturer BuyMe&UseMe predicts that the demand to their brand new smartphone will be 2000 units if its price is set to 1200 TL, and the demand will be 3000 units if the price is reduced 200 TL per item. What is the demand function for this new product?

What is the partial derivative f_x of the function f(x, y)=5x²+xy-y²?

For the given f(x) =2x² + 2x + 2 function which of the statements are true?

1. Every natural number is an integer. Every integer is a rational number.
2. Every rational number has an infinite number of representations by fractions.
3. Every rational number has a finite periodical representation.
4. There is one-to-one correspondence between the points of the real line and the set of real numbers.

Which of the statements above regarding to the number sets and the real line are correct?

1. The sets A = {4, 8, 11, 15} and B = {8, 15, 4 ,11} are the same.
2. The empty set Ø is a subset of any set.
3. The equality A = B is equivalent to two inclusions: A ⊂ B and B ⊂ A.
4. The set of elements that are in either A or B or both is called the union of the sets A and B and is denoted by A ∪ B.
5. x ∈ A ∩ B if and only if x ∈ A and x ∈ B.
6. If A ∩ B = Ø then the sets A and B are called disjoint sets.
7. Universal set is unique.

Which of the statements above regarding to sets are correct?

Find x if e^2x + 5e^x - 6 = 0

If ln 2=a, what will be the value of ln 0.5?

Given the sets A={2, 4, 6, 7}, B={1, 2, 3, 4} and C={8, 7,4}. Find the (AUBUC).

Which of the following is the intersection of intervals (-3, 7), and [4, 9)?

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