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Mathematics 1

Soru

Dakika

Görüntülenme

Çözülme

Sınav Ayarları

Cevapları Anında Göster

Her soruyu cevapladığınızda doğru/yanlış bilgisi gösterilir

Cevapları Sınav Sonunda Göster

Tüm soruları cevapladıktan sonra sonuçlar gösterilir

Soru 1

Orta Zorluk

What is the derivative of (2x + 1) 3 equal to?

A) 2

B) 2(2x + 1)2

C) 3(2x + 1)2

D) 6(2x + 1)2

E) 6(2x + 1)3

Soru 2

Orta Zorluk

3x 2 + 5, x < -3 If f : R - {-3} › R, f (x ) = ?-x + 12, x > -3 then which of the following is the the value of lim x›-3 + f (x)?

A) 3

B) -6

C) 9

D) -12

E) 15

Soru 3

Orta Zorluk

Which of the following is the local minimum point of the function f (x, y) = x 2 + 2 y 2 + 2 x + 3 y ?

A) (3, 5)

B) (-1, -4)

C) (3 / 5, 1)

D) (-2, -3 / 4)

E) (1, 2 / 3)

Soru 4

Orta Zorluk

Soru 5

Orta Zorluk

A = {2, -3, -4, -5, 6}, B = {1, 3, 5, 7}, C = {1, 2, -2, -3, 3, 5, -5}. (C \ B) ? A = ?

A) {-3, -5}

B) {2, -3, 6}

C) {-5, 6, 1}

D) {2, -3, -4, 6}

E) {-4, -5}

Soru 6

Orta Zorluk

For the function f(x)=-3x+11, find the derivative f'(x) at the point x=0?

A) -3

B) 0

C) 11

D) -5

E) 7

Soru 7

Orta Zorluk

What is the derivative of the function which is given below? f(x)=3x.e -5x

A) e-5x

B) 9e-5x

C) -12e-5x

D) (1+5x)e-5x

E) (3-15x)e-5x

Soru 8

Orta Zorluk

Which of the following gives the instantaneous velocity of a particle at time t if its' position at time t is defined by f(t)?

A) limh›0(f(t+h)+f(t))/h

B) limh›0(f(t+h)-f(t))/t

C) limh›0(f(t+h)-f(t))/h

D) limh›0(f(t-h)-f(h))/h

E) limh›0(f(h)-f(t))/h

Soru 9

Orta Zorluk

SleepTight company sells its new pillow for 360 TL per item. Total cost consists of a fixed cost of 4800 and the production cost of 120 per unit. What is the break-even point?

A) 10

B) 20

C) 30

D) 40

E) 50

Soru 10

Orta Zorluk

What is the largest possible area of a rectangle if its perimeter is 80?

A) 800

B) 600

C) 400

D) 300

E) 200

Soru 11

Orta Zorluk

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. What is the break-even point?

A) 45

B) 50

C) 55

D) 60

E) 65

Soru 12

Orta Zorluk

Determine the set of continuity of the function .

A) (-1, 1)

B) R\{-1, 1}

C) [-1, 1]

D) (0, 1)

E) (-1, 0)

Soru 13

Orta Zorluk

Given the function find the second derivative at the point x=1.

A) 5

B) 14

C) 26

D) 23

E) 22

Soru 14

Orta Zorluk

Let f: R›R, f(x)=7x+1 and g: R›R, g(x)=x²-1 be given. What is the value of f/g(2)?

A) 14/3

B) 3

C) 5

D) 7

E) 15/2

Soru 15

Orta Zorluk

What is the set of continuity of f(x) = 2 x / (x 3 – 1) ?

A) (-∞, ∞)

B) R \ {1}

C) R

D) R \ {-1, 1}

E) R \ {-1}

Soru 16

Orta Zorluk

f(x) = x -1 + 2 for x < -2 ; f(x) = x -2 + 2 for x > -2 ; while approaching from the right lim x ›-2 f(x) = ?

A) 1.50

B) 0

C) 2.25

D) 2.50

E) 1.75

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