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

Soru 1:

Wthat is he slope of the tangent line to the curve y = x 3 - 2x + 5 at the point (0, 4) equal to?

A) 2 B) 4 C) 6 D) 8 E) 12

Soru 2:

For z = x²+xy, and x=u²-v and y=-uv, find the partial derivative ? z / ? v at u=2, v=-1.

A) -22 B) -12 C) 0 D) 7 E) 9

Soru 3:

For z = x²+ylnx, and x=u³+v² and y=v, find the partial derivative ?z / ?v at u=1, v=-3.

A) -7 B) 0 C) 3 D) 7 E) 11

Soru 4:

A) 3 B) 6 C) 12 D) 16 E) 17

Soru 5:

The fixed cost of a product is 4.000 TL, variable cost for one unit is 0.4 TL and the selling price of the product is 4.4 TL. Which of the following is the break-even point ?

A) 1.400 B) 900 C) 800 D) 1.200 E) 1.000

Soru 6:

Which of the following is not true for an exponential function f(x)=a x if 0

A) Domain of the exponential functionf(x)=axis(-∞, ∞) B) Range of the exponential functionf(x)=axis(0,∞) C) The exponential functionf(x)=axisincreasing D) Asxgoes to minus infinity,f(x)=axEAsxgoes to infinity,f(x)=axYanıt Açıklaması:f(x)=axisnot an increasing function for 0 E) Asxgoes to infinity,f(x)=axYanıt Açıklaması:f(x)=axisnot an increasing function for 0

Soru 7:

What is the derivative of the function which is given below? f(x)=(x²-7) 1/2

A) x/(x²-7)1/2 B) 1/(x²-7)1/2 C) 2/(x²-7)1/2 D) 1/(2(x²-7)1/2) E) (x²-7)1/2

Soru 8:

Which of the following is the slope of the graph of at the point (2, 2)?

A) 5 B) 85 C) 136 D) 145 E) 100

Soru 9:

Which of the following is the value of ?

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

Soru 10:

f(x) = x 2 – 2 for x < 3 ; f(x) = x 3 – 2 for x > 3 ; while approaching from the left lim x ›3 f(x) = ?

A) 25 B) 3 C) 2 D) 7 E) Ø

Soru 11:

Givenn the function f(x)=ln(2x), find the second derivative at the point x=3.

A) 1/6 B) 1 C) 0 D) 3 E) 1/3

Soru 12:

A company produces a certain item whose demand function is and supply function is For what values of x is there a market surplus?

A) B) C) D)

Soru 13:

If a rule defining a function is given but the domain has not been specified explicitly, then the largest set which makes the rule meaningful is understood. This set is denoted by D f for the rule y = f ( x ) and is called the natural domain of the function. The function given by the rule f ( x ) = makes sense if its denominator is not zero. For the function given by the rule f ( x ) = , x –1?0 should be satisfied.

A) I B) I and III C) II and III D) I, III and IV E) I, II, III and IV

Soru 14:

For given sets A and B assume that s(A) = 16, s(B) = 20 and s(A ∪ B) = 26. Find s(B \ A).

A) 8 B) 10 C) 12 D) 14 E) 16

Soru 15:

Let m=9 be the slope of the tangent line to the curve y=(a+3) x 3 -2x 2 -5x at the point x=1. What is the value of a?

A) 0 B) 1 C) 3 D) 6 E) 8

Soru 16:

Which of the following is a polynomial function, with degree 0?

A) f(x) = 2x B) f(x) = 2x3-5 C) f(x) = 2x2+ 20 D) f(x) = 1 E) f(x) = 2x1/2

Soru 17:

What is the slope of the tangent line to the curve y=3x 2 -1 at point (2, 11)?

A) 2 B) 5 C) 6 D) 11 E) 12