Window Help nd its X Discrete Math-2.3.2 One-to- x 2/2 Content 100% + B ardcdn.com/5fdd9eaf5f408/15194808?X-Blackboard-S3-Bucket-learn-us-east-1-prod-fil... x Bb 15194808 1. Begin by writing a Swing application with the two separate JPanels stacked verti- cally by using a BorderLayout manager to place one at NORTH and the other at CENTER. The control panel should have three buttons for selecting between the three modes, and a slider for dynamically adjusting the behavior of each mode. 2. The first mode should animate a shape diagonally across the window until it hits the opposite edge, at which point it should "bounce" backward. The exact trajectory and shape are up to you, but this mode should create some kind of bouncing shape. The control slider should adjust the speed of the animation. x = r cos(e) yr sin(e) 3. The second mode should animate a shape in a circular path. You can use the same shape from mode 1, or create a different one. The following diagram illustrates how ther and y coordinates change alo