Final Sınavı - Mathematics 1 - sinavahazirlan.com

Soru 1:

A) 6 B) 5 C) 4 D) 3 E) 2

Soru 2:

lim x → ∞ (x 99 – 1) / (-x 98 + x 97 + 1) = ?

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

Soru 3:

Which of the following is the value of lim x›2 (x + 3) (2x - 5)?

A) -10 B) -5 C) 0 D) 5 E) 10

Soru 4:

For which point of the parabola y=-2x 2 +7x-5, the sum of the coordinates is maximal?

A) (-1,2) B) (1,2) C) (2,2) D) (2,1) E) (-2,1)

Soru 5:

Determine the set of continuity of the function f (x) = x 2 -1.

A) (-∞, 0) B) R C) R \ {1} D) R \ {-1,1} E) R - [-1,1]

Soru 6:

What is the half-life of a radioactive substance if 95% of the initial amount remains at the end of 10 years?

A) 23,12 B) 34,67 C) 76,98 D) 113,34 E) 135,13

Soru 7:

Three sides of a rectangular enclosure having one side along a wall must be fenced. Assume that 500 m of fence is available. Find the largest possible area of the enclosure.

A) 7500 m² B) 15625 m² C) 25000 m² D) 31250 m² E) 50000 m²

Soru 8:

Which of the following is the slope of the graph of y=x²+7x-8 at the point (2,10)?

A) 1 B) 8 C) 10 D) 11 E) 17

Soru 9:

Given the function , find the derivative

A) 0 B) -5120 C) 4280 D) -1 E) 1

Soru 10:

How many of the following points are stationary points for the function f(x,y)=x 4 +x 2 y 2 -2x 2 +2y 2 ? I.(0,0) II.(1,0) III.(1,1) IV. (-1,0) V.(0, ? 2)

A) 5 B) 4 C) 3 D) 2 E) 1

Soru 11:

The mobile phone manufacturer BuyMe&UseMe predicts that the demand to their brand new smartphone will be 2000 units if its price is set to 1200 TL, and the demand will be 3000 units if the price is reduced 200 TL per item. What is the demand function for this new product?

A) p=-x/4 +1600 B) p=-x/5-1600 C) p=-x/5 +2000 D) p=-x/5 +1600 E) p=x/6 +1600

Soru 12:

While approaching from the left lim x →1 |x – 1| / (x – 1) = ?

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

Soru 13:

Given that g(x)=2x+1 and f(x)=x 1/2 what is the derivative of f(g(x))?

A) (2x+1)-1/2 B) x-1/2 C) 2x D) x1/2 E) 2

Soru 14:

The Daily profit, P, of an oil refinery is given by P(x)=16x-0,02x 2 where x is the number of barrels of oil refined. How many barrels will give maximum profit?

A) 3200 B) 1600 C) 800 D) 400 E) 200

Soru 15:

What is the first derivative of the function f(x)=x 2 +2x+lnx at point x=1?

A) 2 B) 3 C) 4 D) 5 E) 3+ln2

Soru 16:

Which of the following is the value of lim x›1 [(x 2 +5x -12) / (2x - 8)]

A) 1 B) 2 C) 6 D) 8 E) 12