This applet plots parametric curves: [math]x_t[/math] and [math]y_t[/math] are the [math]x[/math]- and [math]y[/math]-coordinates, respectively, of the point [math]P(x_t, y_t)[/math]. [br]Each of [math]x_t[/math] and [math]y_t[/math] are functions of the parameter [math]t[/math]. [br][br]Values of [math]t[/math] run through the interval [math][a,b][/math]. [br]You can set the values of [math]a[/math] and [math]b[/math] in the input boxes. [br]You can also set the value of [math]t[/math] manually in the input box. [br][br]Hover over "[math]x_t[/math]" and "[math]y_t[/math]" in the left side window to see the equations defining each. [br]You can change these functions [math]x_t[/math] and [math]y_t[/math] by typing "x_t = sin(t) - sin(2t)", for example, in the input box. [br]You can also customise how much the value of [math]t[/math] changes during the animation with the values for [math]i[/math] and [math]s[/math] ("[math]i[/math]" for "increment" and [math]s[/math] for "speed" of the animation).[br][br]Click "Go" and "Stop" to start/stop the animation. To clear the screen and start over click the circular double arrow icon at top-right.