Final Sınavı - Mathematics 1 - sinavahazirlan.com

Soru 1:

A) 1120 B) 1250 C) 1280 D) 1310 E) 1320

Soru 2:

What is the solution of the logarithmic equation

A) {log59} B) {log53} C) {log35} D) {log32}

Soru 3:

For the function f(x) = 2x 3 + 3x 2 + 5x what is the sum of f'(2) and f(1) equal to?

A) 49 B) 50 C) 51 D) 52 E) 53

Soru 4:

At which point on the graph of the function the slope is zero?

A) (-3/2, -7) B) (-3/2, -37/4) C) (-32/4, -3/2) D) (0 ,-5) E) (3, 8)

Soru 5:

While approaching from the right lim x →1 (x 2 - 1) / (x 4 – 1) = ?

A) 0.5 B) 0 C) does not exist D) ∞ E) -1

Soru 6:

What is the equation for the tangent line to the function f(x)=x 2 -2x+1at point (2,1)?

A) y=x-1 B) y=2x-3 C) y=3x-5 D) y=x+1 E) y=x

Soru 7:

While approaching from the right lim x →2 (x 2 – x – 2) / (x – 2) = ?

A) 0 B) 1 C) does not exist D) ∞ E) 3

Soru 8:

On which interval is the function f(x)=x 3 -12x increasing?

A) (-∞, -2)U(0,2) B) (-∞, -3)U(3,∞) C) (-∞, -4)U(4,∞) D) (-∞, -1)U(2,∞) E) (-∞, -2)U(2,∞)

Soru 9:

Given that the demand function is p=60-x/3, the fixed cost 120 TL, and the variable cost for each item produced is 3 TL, what is the maximum profit?

A) 450,5 B) 550,75 C) 2317,86 D) 1536 E) 2316,75

Soru 10:

lim x ›0, y›0 (x 2 + xy + y 2 ) / (x + xy + y) = ?

A) 1 B) 0 C) 2 D) does not exist E) 3

Soru 11:

_______ is the point at which cost or expenses and revenue are equal.

A) Surplus B) the Equilibrium Point C) Shortage D) the Break-Even Point E) the Total Revenue

Soru 12:

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

A) f'(x)=2x B) f''(x)=0 C) The function has local minimum at (2,8) D) The function has local maximum at (2,8) E) The function has no local minimum or local maximum point

Soru 13:

z = f(x, y) is defined implicitly by xz – yz + 3 = 0 ; Which of the following ones below is the equation of the tangent plane to the graph of z = f (x, y) around the point (1, -2, -1) ?

A) -x + 2 y + 3 z + 8 = 0 B) 2 x – y + 2 z – 7 = 0 C) -x – 3 y + 2 z + 6 = 0 D) x + y – z + 5 = 0 E) -3 x + 3 y + z + 4 = 0

Soru 14:

The fixed costs of a product is 2750 TL, variable cost of one unit is 1,5 TL, and the selling price of the product is 3 TL. Which of the following is the break-even point?

A) 1850 B) 1833,33 C) 1733 D) 1633,33 E) 750,35

Soru 15:

At which (x,y) point is the value of the function y=f(x)=x 2 -6x+5 is minimum?

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

Soru 16:

SleepTight company sells its new pillow for 360 TL per item. Total cost consists of a fixed cost of 4800 TL and the production cost of 120 TL per item. How much profit or loss the manufacture acquires if the company sells 30 pillows?

A) 3400 loss B) 3400 profit C) 740 profit D) 2400 loss E) 2400 profit

Soru 17:

Which of the following is the value of

A) 0 B) 1 C) 2 D) 5 E) does not exist.

Soru 18:

What is the value of the ?

A) 1 B) 4 C) 8 D) 12 E) does not exist