Final Sınavı - Mathematics 1 - sinavahazirlan.com

Soru 1:

What is the derivative of f(x)=ax n -bx+c?

A) ax-b B) a-b C) ax+c D) anx(n-1)-b E) anx-bx

Soru 2:

A) B) C) D)

Soru 3:

Evaluate lim x→2 ( x / |x-2| ).

A) -2 B) -∞ C) 2 D) +∞ E) The limit does not exist.

Soru 4:

Suppose a firm has a demand curve for its product given by D=32-2Q and the firm’s costs of the production and marketing are C(Q)=2Q 2 . Find the formula for profit P, in terms of Q?

A) P(Q)=32Q-2Q2 B) P(Q)=32-2Q-2Q2 C) P(Q)=32Q-4Q2 D) P(Q)=32Q-2Q-2Q2 E) P(Q)=32Q-2Q2

Soru 5:

Find the interval of decrease for the function .

A) (-1, 1) B) (0, 1) C) [-1, 0) D) (0, 1] E) (-2, 0)

Soru 6:

Which of the following is a quadratic function?

A) f(x)=√3x-1 B) f(x)=√5x3-x+1 C) f(x)=x-2-3x+1 D) f(x)=2 E) f(x)=√5x2-3x+1

Soru 7:

The demand function of A is q (p) = 492 – 0.03 p 2 ; what is the price elasticity of demand when p = 20 ?

A) 0.05 B) 0.25 C) 0.6 D) 1.2 E) 1.5

Soru 8:

If the total revenue function is T(q)=400q2-2q 3 what is the value of the marginal revenue for q=10?

A) 8000 B) 7400 C) 7200 D) 600 E) 400

Soru 9:

________ tells us the desire or willingness of a customer to pay a certain price for a particular item she wants to buy.

A) Supply B) Market C) Demand D) Equilibrium E) Shortage

Soru 10:

lim x →- ∞ (8 x 555 – 1) / (4 x 555 + 2 x 554 + 1) ?

A) does not exist B) -∞ C) 2 D) -2 E) ∞

Soru 11:

What is the derivative of f(x) = 2x 3 + 5x + 3 at the point x = 3 equal to?

A) 57 B) 58 C) 59 D) 60 E) 61

Soru 12:

For the given f(x) =2x 2 + 2x + 2 function which of the statements are true?

A) This function has a local maximum and minimum point. B) The critical value is equal to zero. C) The critical value is a positive number. D) This function has a local maximum point. E) This function has a local minimum point.

Soru 13:

What is the value ?

A) 51/5 B) 49/5 C) 12 D) 10 E) 5

Soru 14:

The point where the quantity demanded equals the supply provided is called ________.

A) Supply B) Demand C) the Equilibrium Point D) Shortage E) the Break-Even Point

Soru 15:

Which of the following is a polynomial function?

A) f (x)= x1/3+ 1 B) f(x) = 21/2x +1 C) f (x)= x2+ 2x1/2+1 D) f (x)= 2x1/3+1 E) f(x) = 2x-1- 1

Soru 16:

Which of the following is the slope of the graph of at the point (0, 0)?

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

Soru 17:

The demand function of A is p = -3 x + 3.333, and supply function is p = 5 x + 333. For what values of x is there a surplus for A ?

A) < 403 B) > 330 C) < 220 D) > 111 E) > 250

Soru 18:

What can be the maximum area of a rectengular field whose perimeter is 40 metres?

A) 75 B) 84 C) 91 D) 96 E) 100

Soru 19:

If then which of the following is the value of ?

A) 0 B) 1 C) 5 D) -2 E) 3