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private java private jsp private java private jsp width; } public void paint(Graphics g) { g.drawLine(0, 0, AppletWidth, AppletHeight); }} Graphing FunctionsWe're now going to demonstrate the use of the drawLine() method to draw considerably non-straight figures. It is shown in advanced calculus that any reasonably well-behaved (should that be differentiable?) function can be approximated arbitrarily well by straight lines where quantities like &well-behaved" and "arbitrarily are precisely defined. I'll spare you the details of the mathematical proof, but I will demonstrate its probability to you by producing an applet that does a very good job of graphing any function you care to throw at it. As usual we'll develop it in pieces rather than just throwing it all out at once.

private java private jsp We begin with the skeleton applet. We'll need to add some code to the paint method of the applet to make it draw something. Let's begin by drawing a sine wave from the left hand side of the image to the right hand side. Here's the complete program:import java.applet.

private java private jsp *; import java.awt.*; public class GraphApplet extends Applet { int x0, xN, y0, yN; public void init() { // How big is the applet? Dimension d = size(); x0 = 0; xN = d.width-1; y0=0; yN=d.height-1; } public void paint(Graphics g) { for (int x = x0; x < xN; x++) { g.

private java private jsp drawLine(x,(int) (yN*Math.sin(x)),x+1, (int) (yN*Math.sin(x+1))); } } }The meat of this applet is in the for loop of the paint method. for (int x = x0; x < xN; x++) { g.drawLine(x,(int) (yN*Math.

private java private jsp

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private java private jsp