Mathematics 1 Çıkmış Sorular, Online Deneme Sınavları, Çalışma, Dersler, Sınava Hazırlanma, vize, final

Soru 1:

Which of the following gives the average velocity of a particle in time interval (t 1 , t 2 ) if its' position at time t is defined by f(t)?

A) (f(t2)+f(t1))/(t2+t1) B) (f(t2)-f(t1))/(t2-t1) C) (f(t2)-f(t1))/(t2+t1) D) (f(t2)+f(t1))/(t2-t1) E) f(t2)/t2-f(t1)/t1

Soru 2:

A) -1 B) 0 C) 1 D) 2 E) 3

Soru 3:

What is the domain of the function f(x,y)= √( x 2 -4y 2 )

A) x≥2y∩ x≥-2y B) x≥y∩ x≥-2y C) x≥2yU x≥-2y D) 2x≥y∩ x≥-2y E) x=0, y=0

Soru 4:

What is the shortest distance between the point P(0, 2) and the line y = x ?

A) 2 B) 2-1/2 C) 23/2 D) 2-1 E) 21/2

Soru 5:

For the function , find the derivative function f'(x)?

A) B) C) D)

Soru 6:

Let f :R › R , f ( x ) = x -1 and g :R › R , g ( x ) = 2 x -1 be given. What is the value of ( f . g )(3) =?

A) -3 B) 3 C) 5/3 D) 7/3 E) -8/3

Soru 7:

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

A) f(x)=x6 B) f(x)=2x3 C) f(x)=-2x4 D) f(x)=5x2 E) f(x)=10x8

Soru 8:

The sets A = {4, 8, 11, 15} and B = {8, 15, 4 ,11} are the same. The empty set Ø is a subset of any set. The equality A = B is equivalent to two inclusions: A ? B and B ? A . 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. x ? A ? B if and only if x ? A and x ? B . If A ? B = Ø then the sets A and B are called disjoint sets. Universal set is unique. Which of the statements above regarding to sets are correct?

A) I, II and IV B) II, IV, V and VI C) III, IV, V, VI and VII D) I, II, III, IV, V and VI E) II, III, IV, V, VI and VII

Soru 9:

On which interval is the function f(x)=x 3 +3x 2 +5 decreasing?

A) B) C) (1,2) D) (-2,0) E) (0,2)

Soru 10:

Given function , find the second derivative

A) 1/4 B) 3/4 C) -1/27 D) -2/27 E) 0

Soru 11:

The mobile phone manufacturer BestPhone predicts that the demand to their brand new smartphone will be 5000 units if its price is set to 3000 TL, and the demand will be 6000 units if the price is reduced 500 TL per item. What is the slope of demand function?

A) 1/2 B) -1/2 C) 1 D) 1/4 E) -1/4

Soru 12:

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?

A) 1/2 B) -1/2 C) 1 D) 1/4 E) -1/4

Soru 13:

What is the limit of the function at x=0?

A) 0 B) -1 C) 1 D) -2 E) -5

Soru 14:

What is the value of ?

A) 3/5 B) 1/5 C) 6/5 D) 5 E) 7/5

Soru 15:

What is the partial derivative f x of the function f(x, y)=5x 2 +xy-y 2 ?

A) 5x+y B) 5x-2y C) 10x+y D) 10x-2y E) 5+xy

Soru 16:

What is the slope (f'(x)) of function f(x)=2x 3 -3x 2 +4x-3 at the point x=2?

A) 18 B) 16 C) 12 D) 9 E) 4

Soru 17:

The fixed costs of a product is 8000 TL, variable cost for one unit is 3 TL and the selling price of the product is 7 TL. Which of the following is the break-even point?

A) 400 B) 800 C) 1200 D) 1600 E) 2000

Soru 18:

Which of the following can be the function of the graph below?

A) f(x)=x2+5x B) f(x)=x2-5x+6 C) f(x)=x2+5x+6 D) f(x)=x2+5x-6 E) f(x)=x2-6