Here is the answer, I just want to know how people find it step by step (6) Find all asymptotes (if any) f (r) In 2a 3) g(a) h (ar) 2-3 Solution f(x)=ln(2x-3) To find the vertical asymptote we have to set 2x-3to zero 2x-3=0 X=3/2 g(x)= (x3-9x)/(x4+3x3+2x2) = (x)(x+3)(x-3)/(x2)(x+1)(x+2) =(x+3)(x-3)/x(x+2)(x+1) Vertical asymtote x(x+2)(x+1)=0 x=-2,-1,0 Horizontal asymtote Since the degree of numerator is less than the degree of denominator. Therefore horizontal asymptote is y=0 h(x)=2-3x+1 Here the constant is the horizontal asymptote which is 2.Hence the horizontal asymptote y=2.

1. How do i add a file menu to my java program?
Solution
Here goes the step by step guide to add a file menu to your program
*Your main method which initializes another method 'showMenuDemo' should look like this
public static void main(String[] args){
SwingMenuDemo swingMenuDemo = new SwingMenuDemo();
swingMenuDemo.showMenuDemo();
}
*The showMenuDemo will create a menubar with menu ‘file’ and one of the file item observed
from your code is 'exit' is also implemented.
private void showMenuDemo(){
//create a menu bar
menuBar = new JMenuBar();
//create menus
fileMenu = new JMenu("File");
//create menu items
exitItem = new JMenuItem("Exit");
exitItem.setActionCommand("Exit");
MenuItemListener menuItemListener = new MenuItemListener();
exitMenuItem.addActionListener(menuItemListener);
//add menu items to menus
fileMenu.add(exitMenuItem);
//add menu to menubar
menuBar.add(fileMenu);
//add menubar to the frame
mainFrame.setJMenuBar(menuBar);
mainFrame.setVisible(true);
}
*we will initialize the variables since all the variables required for implementing this
functionality are already declared in the class 'TheaterWindow '
*You can implement the action event on clicking the exit menu using the below function

2. class MenuItemListener implements ActionListener {
public void actionPerformed(ActionEvent e) {
statusLabel.setText(e.getActionCommand()
+ " JMenuItem clicked.");
}
}