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

Soru 1:

Which one is an irrational number?

A) 0 B) 2 C) 3/4 D) π E) 0.5

Soru 2:

Which of the following is the value of lim x›7 [(x 2 -2x - 35) / (x - 7)]

A) 6 B) 7 C) 12 D) 24 E) 42

Soru 3:

The bus company BusAway determines that when a return ticket between Eskişehir and Ankara costs p TL (0

A) 6,5 B) 7 C) 8 D) 10,8 E) 12,8

Soru 4:

z = x 2 – y ; x = u 2 v ; y = u 2 + v 2 ; at u = v = -1, ?z / ?u = ?

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

Soru 5:

lim x →- ∞ (x 4 + x 3 – 1) / (x 5 + x 2 + 1) = ?

A) 1 B) does not exist C) ∞ D) 0 E) -∞

Soru 6:

What is the value of the limit; lim (x,y)›(0,0) (5x²+y²) / (x²+y²)=?

A) -5 B) 0 C) 2 D) 5 E) does not exist.

Soru 7:

The total cost of A is C (x) = 2.400 + (2 x 2 - 120 x) / 3 , where x represents the quantity produced. Which of the following is the production quantity that makes the cost minimum ?

A) 30 B) 40 C) 64 D) 80 E) 24

Soru 8:

If the total cost function of a product is given by C(x)=4x+750, and the demand is p=10-(2x/4) which of the following is the maximum profit obtained through the sales of this product?

A) 3 B) 6 C) 5 D) 7 E) 9

Soru 9:

For the function , find the second derivative

A) 1 B) -1 C) 5e D) 25e E) 0

Soru 10:

The demand function of A is p = 40 – (x / 2), the fixed cost 48 TL, and the variable cost for each item produced is 4 TL ; what is the maximum profit ?

A) 448 B) 860 C) 600 D) 1.022 E) 1.296

Soru 11:

lim x ›-1 5 -1 = ?

A) -1 B) 0 C) 0.2 D) 1 E) -0.2

Soru 12:

For the function , find the derivative at the point x=0.

A) 8 B) 9 C) 11 D) e E) e + 1

Soru 13:

A) -2xe-x2 B) e-x2(-2+4x2) C) ex2(-2+4x2) D) -e-x2(-2-4x2) E) 4x e-x2

Soru 14:

lim x ›2 (x – x -1 ) (x 2 – 1) = ?

A) 4.5 B) 1.5 C) 2.5 D) 0.5 E) 5.5

Soru 15:

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

A) x exy+ 2 x y – x B) exy+ 2 x C) x2exy+ x D) x exy+ x E) x2exy+ 2 x

Soru 16:

Find the equation of the tangent plane to z = ln ( 2 x + y ) at ( - 1 , 3 ).

A) z=4x+2y-2 B) z=x+2y-3 C) z=2x+y-1 D) z=-2x+2y-3 E) z=3x+y-3

Soru 17:

The utility function of a consumer is defined by U(x,y)=x 0.5 y 0.5 who is constrained by the budget 120=2x+4y (He has 120 liras to spend on x and y, whose prices are 2 and 4 liras respectively). What are the amounts of (x,y) that maximizes his utility given that he spends all his budget?

A) (30,20) B) (30,15) C) (60,0) D) (0,30) E) (40,10)

Soru 18:

What is the derivative of f(x)=(3x 2 +5x)/(2x-1)

A) (6x2-6x-5)/(4x2-4x+1) B) (6x2+6x-5)/(4x2+4x-1) C) (12x2-6x-5)/(4x2-4x+1) D) (12x2-4x-5)/(4x2-4x+1) E) 1/(4x2-4x+1)

Soru 19:

If then

A) ∞ B) 0 C) 1 D) -1 E) 2

Soru 20:

The function z=f(x, y) is implicitly defined by x 2 y-3y 2 +2zx=0. Find dz/dx

A) -y-2z/x B) -z-2y/x C) -x-2z/y D) -x-2y E) x+y