Deneme Sınavı Soruları

z = f(x, y)= xz + yz + 1  so  ∂f / ∂y (1, -2, -1) = ?

What is the partial derivative df(x,y)/dx for f(x,y)=e^xy?

While approaching from the right lim_x→-1 (x + 1) / (x³ + 2 x² – 1) = ?

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

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 ?

What is the average velocity of a particle in time interval [4,6] whose time(t) related position is given by the function f(t)=t²+4t?

What is the second derivative of the function f(x)=e^3x ?

The utility function of a consumer is defined by U(x,y)=x^0.5y^0.5 who is constrained by the budget 120=2x+4y (He has 120 liras to spend on x and y, whose prices are 2 and 4 liras respectively). What are the amounts of (x,y) that maximizes his utility given that he spends all his budget?

What is the positive stationary vaule of the function f (x, y) = x – y, satisfying the condition x² – 2 y² = 10 ?

What is the first derivative of the function f(x)=x²+2x+lnx at point x=1?

Given that x is a real number and f is given by the rule f (x) = (2x - 12)^1/2 , which of the following sets is the largest domain of the definition of f ?

The total number of students in a class is 87, the number of students taking Music course is 55, the number of students taking Dance course is 45. If the number of students taking neither Music nor Dance is 26. What is the number of students taking both Music and Dance courses ?

In a school, the total number of students are 250. The number of the members of the Mathematics Club is 153, and the number of the members of the Sports Club is 110. Given that there are only two clubs in the school, and the number of the students who are neither a member of the Mathematics Club nor the Sports club is 17.

Find the number the students who are a member of both the Sports Club and the Mathematics Club.  

Which of the following expression's graphs passes through the origin?

I-   f(x)=3

II-  g(x)=3x

III- h(x)=3x² 

IV-  p(x)=3+3x²

The sets A = {a, b, c, d, e}, B = {b, c, e, f, g}, C = {c, d, f, g} are given. Which of the following is the set {c} ?

Which of the following is a solution set of  7x-21=0?

What is the half-life of a radioactive substance if 90% of the initial amount remains at the end of 25 years ?