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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

For the function f(x)=-x²+13x-27 find the derivative at the point x=5.

A) 1

B) 3

C) 8

D) 21

E) 63

Soru 2

Orta Zorluk

While approaching from the right lim x →-2 |x + 2| / (x + 2) = ?

A) -1

B) does not exist

C) 1

D) 0

E) ∞

Soru 3

Orta Zorluk

A furniture manufacturer company sells its new product for 500 TL per item. Total cost consists of a fixed cost of 12000 TL, and the production cost of 300 TL per item. What is the break-even point?

A) 120

B) 150

C) 180

D) 240

E) 300

Soru 4

Orta Zorluk

What is the limit of the function f (x) = ( x-7 / x - 5) at x = 5?

A) 5

B) 7

C) +∞

D) -∞

E) does not exist.

Soru 5

Orta Zorluk

Soru 6

Orta Zorluk

Which of the statements given is true for the local extreme points of the function x 3 + 2x 2 - 4x ?

A) x=-2 is a local minimum

B) x=2/3 is a local maximum

C) x=-2 is a local minimum and x=2/3 is a local maximum

D) x=-2 is a local maximum and x=2/3 is a local minimum

E) x=-2 is a local maximum, x=2/3 is a local minimum and x=2 is a local minimum

Soru 7

Orta Zorluk

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

A) -1

B) -3

C) 0

D) 3

E) 4

Soru 8

Orta Zorluk

What is the half-life of a radioactive substance if 90% of the initial amount remains at the end of 25 years ?

A) 50 (ln 0.5) ln 0.9

B) 75 (ln 0.9) / ln 0.5

C) 25 (ln 0.5) / ln 0.9

D) 100 ln (0.5 / 0.9)

E) 150 ln (0.9 / 0.5)

Soru 9

Orta Zorluk

((5 -1 + 2 -1 ) - 1 / (5 -1 – 2 -1 )) - 1 = ?

A) -3 / 7

B) -7 / 3

C) 3 / 7

D) 7 / 3

E) 21 / 10

Soru 10

Orta Zorluk

The demand function of A is p = 1.200 – 3 x, and the supply function of A is p = 5 x – 400. Which of the following is the equilibrium price ?

A) 600

B) 500

C) 400

D) 300

E) 200

Soru 11

Orta Zorluk

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

A) 11

B) -11

C) 6

D) 11

E) 14

Soru 12

Orta Zorluk

If f(x,y)=5+e -3y +x.lnx What is the partial derivative ? f / ? x= ?

A) e-3x

B) e-3x/ lnx

C) lnx+1

D) -3y.lnx

E) -3e-3y+x.lnx

Soru 13

Orta Zorluk

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

A) 1/3

B) -2/3

C) 0

D) -1/3

E) -1

Soru 14

Orta Zorluk

lim x →- ∞ (-x 26 + 1) / (x 25 + x 24 – 1) = ?

A) 1

B) -1

C) ∞

D) does not exist

E) -∞

Soru 15

Orta Zorluk

Find the 3rd derivative of f(x)=x 3 +lnx. (f'''(x)=?)

A) 6+2/x3

B) 6-2/x3

C) 6x-(1/x)2

D) 6x+(1/x)2

E) 6-1/x

Soru 16

Orta Zorluk

If demand is elastic, which of the followings is correct?

A) |Ep|<1, revenue R increases as price p increases.

B) |Ep|>1, revenue R(p)=p q(p) decreases as price p increases.

C) |Ep|<1, revenue R decreases as price p increases.

D) |Ep|>1, revenue R(p)=p q(p) increases as price p increases.

E) |Ep|=1, revenue is unaffected by a small change in price.

Soru 17

Orta Zorluk

A company produces a certain item whose demand function is p(x)=10x-150, and supply function is q(x)=5x-100. For what values of x is there a market shortage?

A) x<10

B) B) x<15

C) C) x<20

D) D) x>10

E) E) x>15

Soru 18

Orta Zorluk

lim x →0 0 0 = ?

A) 0

B) 1

C) ∞

D) does not exist

E) -1

Soru 19

Orta Zorluk

lim x ›-1 (x 3 – x 0 ) (x – 1) = ?

A) 5

B) -1

C) 2

D) 0

E) 4

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