# Tutor profile: Ayham I.

## Questions

### Subject: Java Programming

Create a Square object in which its area can be obtained using this method: public double getArea() Make sure that method exists in your code. Then, create a SquareTester class that gives the square's width and length, and is able to print out the area of the square (Format does not matter, what matters is the logic followed).

First, Lets create the Square Class: public Square(double w, double l){ width = w; length = l; } public Square(){ width = 0; length = 0; } public void setLength(double length){ this.length = length;} public void setWidth(double width){ this.width = width;} public double getLength(){ return length;} public double getWidth(){ return width; } public double getArea(){ return length*width; } } Then create the SquareTester Class: public class SquareTester{ public static void main(String[] args){ Square s = new Square(); s.setLength(2); s.setWidth(5); System.out.print(s.getArea()); } }

### Subject: Computer Science (General)

What is the hexadecimal number of the binary number 1011010?

As a note, here is a number presentation of Hexadecimal numbers, where regular decimal numbers' equivalence is given in Hexadecimal: 0 = 0 1 = 1 2 = 2 3 = 3 4 = 4 5 = 5 6 = 6 7 = 7 8 = 8 9 = 9 10 = A 11 = B 12 = C 13 = D 14 = E 15 = F First, let us convert the binary number to a decimal number: In order to do so, we have to multiply each number (in order) starting from the right by multiplying the first number by 1, then multiplying next terms by 2 times more than number used for the previous term: 1 0 1 1 0 1 0 * * * * * * * 64 32 16 8 4 2 1 Finally, add the total of each product: = 64 + 16 + 8 + 2 = 90 then we convert the decimal number to hexadecimal number by finding the remainder of each number found (quotient) from 90 after dividing it by 16, until the last product found is Zero. 90 / 16 = 5 and remainder of 10 5 / 16 = 0 and remainder of 5 All what is left to do is writing down the remainders from bottom to top in their hexadecimal format: 5 = 5 and 10 = A, therefor, 5A is the Hexadecimal version of 1011010

### Subject: Calculus

What is the position rate of change of a car, in feet, given it's position(P) function after a period (t) of 3 seconds? P(t) = 5t^2 + 3t + 5

Rate of change(R.O.C) is in another word, DERIVATIVE. To find the derivative of a function, use this formula: ______________ | x^n ===> nx^(n-1) | --------------------------- Example: x^2 => 2x AND: x^1 => 1 AND: 5 => 0 In which a derived function is denoted with a ('). So P(T) will become P'(T) OR dP/dT (Explained below) ----------------------------------------------- We are trying to calculate RATE OF CHANGE of an object's SPEED, OVER a certain TIME. Speed of Car = Positioning difference / Time difference Shortly: Speed = dP/dt First, we have to find the function's rate of change, which can be find through the formula given above, by applying on EVERY TERM of the original function; P(t) = 5t^2 + 3t + 5 Which becomes: P '(t) = 10t + 3 ==> After Differentiation (Finding rate of change formula) then we only need to plug in the time given in the question (3 seconds) for every t, since t represents time: P '(3) = 10(3) + 3 = 33 feet per second. OR dP/dt = 10(3) + 3 = 33 feet per second Lastly, get a different car cause this one is slow!

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