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

Soru 1:

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:

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:

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:

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:

A) B) C) D)

Soru 6:

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:

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

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

Soru 8:

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:

((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:

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:

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:

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:

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:

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

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

Soru 15:

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:

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:

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:

lim x →0 0 0 = ?

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

Soru 19:

lim x ›-1 (x 3 – x 0 ) (x – 1) = ?

A) 5 B) -1 C) 2 D) 0 E) 4