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

Soru 1:

A car moves along a road in such a way that its position at time t is f(t) = t 3 + t 2 + t (metre). What is the velocity of the car at the instant t=2 equal to?

A) 16 B) 17 C) 18 D) 19 E) 20

Soru 2:

The total cost function of A is C(x) = 3 x + 600, and the demand is p = 30 – (x / 3) ; which of the following is the maximum profit obtained through the sales of this product ?

A) 100 B) 129 C) 140 D) 118 E) 144

Soru 3:

A) 60 B) 120 C) 240 D) 360 E) 480

Soru 4:

Which of the following is an extreme point for the function f(x)=x 3 -4x?

A) x=0 B) x=2 C) x=-2 D) x= (√ 2)/3 E) x=1

Soru 5:

What is the positive stationary vaule of the function f (x, y) = x – y, satisfying the condition x 2 – 2 y 2 = 10 ?

A) 21/2 B) 2-1 C) 3-1 D) 51/2 E) 31/2

Soru 6:

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) 175 B) 150 C) 275 D) 135 E) 275

Soru 7:

A company produces a certain item whose demand function is p=-5x+500, and supply functionis p=2x-200. For what values of x is there a market shortage?

A) x>25 B) x>120 C) x<120 D) x>100 E) x<100

Soru 8:

The position of a particle moving along the x -axis at time t is given by f(t) = 3 t 2 -2 t (metre). Find the average velocity over the interval [4, 6]

A) 5.6 B) 6 C) 8 D) 13.6 E) 28

Soru 9:

If f(x,y)=x 2 +5xy-3y 2 find f xy -f yx

A) 2x-5y B) -3x+11y C) 3x-11y D) 0 E) 5

Soru 10:

For the function , find the derivative function

A) 1 B) 0 C) 6 D) 4 E) 2

Soru 11:

A smart TV brand SmartTV has a new product and they predict their demand function as a; and ther supply function as a; What is the market price of this product?

A) 50 B) 75 C) 100 D) 125 E) 150

Soru 12:

In a touristic group, 10 tourists can speak English, 15 tourists can speak German, 9 tourists can speak both English and German, and 3 tourists can speak neither English nor German. Find the number of tourists in this group.

A) 16 B) 17 C) 18 D) 19 E) 20

Soru 13:

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

A) R \ {-3, 3} B) R C) R \ {3} D) R \ {0,3} E) [3, ∞)

Soru 14:

For the function , find the derivative at the point x = 2.

A) 15 B) 10 C) 17 D) 19 E) 21

Soru 15:

Which of the following is the local minimum point of the function f(x,y)=2x²+2xy+2y²-6x ?

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

Soru 16:

At which point on the graph of the function y = 6x² - x – 1 the slope is zero?

A) (-1,6) B) (1,4) C) (0,-1) D) (6,-1) E) (4,1)

Soru 17:

The position of a vehicle at time t is defined by the function f(t)=5t 2 -2t+1. What is the average average velocity of vehicle between time interval [1,3]?

A) 15/4 B) 4 C) 18 D) 40 E) 46

Soru 18:

Given that x is a real number and f is given by the rule , which of the following sets is the largest domain of definition of f ?

A) (-∞, 6] B) (6, ∞) C) (9, 3) D) (1, 6) E) (1, ∞)

Soru 19:

Given that z=(x+y) 2 , y=u 3 x=u 2 -u find the partial derivative dz/du

A) 9u5-12u4+5u3+6u2-2u B) 9u5+12u4-5u3-6u2+2u C) 6u5-5u3-6u2+2u D) 6u5+5u4-5u3-6u2+2u E) u5+12u4-u3-6u2+2