Deneme Sınavı Soruları

Assume that a bus travels 2 hours and covers a distance of 140 km and travels for 2 hours more and covers a total distance of 300 km. What would be the average velocity of this bus in its last 2 hours of travel?

If f(x,y)=3x²y+e^xy+lny

What is the partial derivative ∂²f /∂x² ?

Find the second derivative of f(x)=2x³+(1/x)

The total cost function of A is C(x) = 3 x + 600, and the demand is p = 30 – (x / 4) ; which of the following is the maximum profit obtained through the sales of this product ?

What is the limit of the function at x=0?

Which of the statements given is true for the local extreme points of the function  x³ + 2x² - 4x ?

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

If f(x,y)=x²+5xy-3y² find f_xy-f_yx

If then which of the following is the value of ?

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

In which interval is the function f(x)=x²-4x monotone increasing?

What is the solution set of  ?

Given the function f: R→R, f(x)=7x²+12, what is the value of f(2)?

log₅2 . log₄3 . log₉5=?

What is solution of 5⁰?

1. A ∩ B = {2, 3}
2. A ∪ B = {1, 2, 2, 3, 3, 5, 8, 10, 11}
3. A \ B = {1, 5, 8}
4. B \ A = {10, 11}

If A = {1, 2, 3, 5, 8} and B = {2, 3, 10, 11}, then which of the above are correct?

e^-2x + e^-x = 0. x = ?