Final Sınavı - Mathematics 1 - sinavahazirlan.com

Soru 1:

If then

A) 5 B) 1 C) 3 D) -1 E) 0

Soru 2:

Which of the following is the slope of the graph of at the point (1, 1)?

A) 3 B) 4 C) 5 D) 6 E) 7

Soru 3:

Let p denote the price and q denote the quantity of a product. If the demand to this product is given by q(p)=450-2(p^2), what is the price elasticity of demand when p=10?

A) 1,6 B) 1,2 C) 1,5 D) 2,6 E) 2,5

Soru 4:

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, 4].

A) 124/3 B) 111/2 C) 5 D) 43 E) 110/3

Soru 5:

If the demand function of a particular commodity is given by p(q)=900-q/3 what is the price when demand is of unit elastic?

A) 900 B) 175 C) 450 D) 270 E) 350

Soru 6:

For the functions f : R› R , f (x) = 3x - 7 and g : R› R , g(x) = -x + 3, what is the value of the composition (f ° g)(2)=?

A) -1 B) -2 C) -3 D) -4 E) -5

Soru 7:

Let p denote the price and q denote the quantity of a product. If the demand to this product is given by What is the price elasticity of demand when p=10?

A) 0 B) 1 C) 2 D) 3 E) 4

Soru 8:

A rectangular farming area of 6050 m ² needs to be designed. The area is bounded from one side by the wall and requires fencing from the other three parts (one length and two widths). What is the minimum length of the fencing required.

A) 175 m B) 210 m C) 220 m D) 250 m E) 275 m

Soru 9:

The additional cost needed to produce or purchase one more unit of a good or service is called________.

A) the Marginal Analysis B) the Marginal Cost C) the Marginal Revenue D) the Marginal Profit E) the Margianl Risk

Soru 10:

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

A) 0 B) 1 C) 2 D) 4 E) 8

Soru 11:

A) (4,5) B) (3,5) C) (2,5) D) (1,5) E) (4,4)

Soru 12:

Given that f : R› R, f (x) = 3x + 5 which of the following equals to f -1 (2)?

A) 1 B) 2 C) 3 D) 4 E) 5

Soru 13:

The demand function of A is p(q) = 555 – (q / 5). What is the price when the demand is of unit elastic ?

A) 555.0 B) 812.5 C) 257.5 D) 1.110.0 E) 55.5

Soru 14:

A hardware manufacturer company sells its new product for 130 TL per item. Total cost consists of a fixed cost of 4400 TL, and the production cost of 50 TL per item. How many items must the manufacturer sell to gain a profit of 2500 TL?

A) 80 units B) 82,65 units C) 86,25 units D) 87,75 units E) 85,50 units

Soru 15:

Given that f(x,y)=(3lnx+1)/(e -3x ) + (y²x²)/(x+y) What is the value of the partial derivative of ? f / ? y at the point (1,2)=?

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

Soru 16:

If then which of the following is the value of ?

A) 32 B) -8 C) -15 D) -3 E) 0

Soru 17:

What is the solution set of the inequality x 2 -6x + 5 < 0?

A) (3, 4) B) (2, 5) C) (1, 5) D) (0, 6) E) (0, 5)

Soru 18:

f(x, y) = e y + yx 2 – x – 1 ; ?f / ?y = ?

A) ey+ x2– x B) ey+ 2 x C) ey+ 2 y x2 D) ey+ x2 E) ey+ y x2

Soru 19:

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 ?

A) 10 B) 20 C) 30 D) 40 E) 50

Soru 20:

While approaching from the left lim x →1 (x 3 – 1) / (x – 1) = ?

A) ∞ B) does not exist C) 0 D) 3 E) 1