Deneme Sınavı Soruları

What is the slope of the tangent line to the curve y=x³ at point (-1, -1)?

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

What is the domain of the function f(x,y)=√(x²-4y²)

The demand for A is q = 600 – 0.02 p² , (0 ≤ p ≤ 250). Which of the following is the value of p for which the demand is of unit elastic ?

Assume that z=x²+xy where x=u²v and y=2uv. What is the partial derivative dz/du for u=1 and v=2?

_______ is the point at which cost or expenses and revenue are equal.

What is the derivative of f(x)=(3x²+5x)/(2x-1)

The mobile phone manufacturer BestPhone predicts that the demand to their brand new smartphone will be 5000 units if its price is set to 3000 TL, and the demand will be 6000 units if the price is reduced 500 TL per item. What is the slope of demand function?

Which of the following is the value of lim_x→7 [(x² -2x - 35) / (x - 7)]

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

Which of the following is the value of

?

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

What is the shortest distance from point (3,5) to the x=y line?

Which of the following defines the shaded area below?

Given that A={0,1,2,3,a,b}, how many subsets of A contains both letters  ("a" and "b")?

Which power of 4 between 4000-4100?

There are 2 earthquakes are given below;

1^st earthquake's magnitude is M=7.1 and the 2^nd earthquake's magnitude is M=5.2 on the Richter scale.

How many times 1^st earthquake has a magnitude greater than 2^nd earthquake about?

( On the Richter scale, the magnitude M of an earthquake of intensity I is expressed by the formula: M = log₁₀I.)

What is the solution set of the inequality 4x-128<0?

1. a⁰ = 1 for all nonzero numbers a.
2. If a = 0, a⁰ is called power of a.
3. ∞ (infinity) is not a number. It represents an infinitely large quantity.
4. The whole real line is an interval denoted by (–∞, ∞).
5. Powers are used when we multiply a real number by itself repeatedly.

Which of the statements above regarding to numbers are correct?

Let A = {a, b, c, d}. Find the number of all nonempty subsets of A?