Differential Equations: Computing and Modeling (5th Edition), Edwards, Penney & Calvis
5th Edition
ISBN: 9780321816252
Author: C. Henry Edwards, David E. Penney, David Calvis
Publisher: PEARSON
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Chapter 1.2, Problem 37P
Program Plan Intro
To calculate: The distance from A to B where the rest point is A and the final point is B.
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Change the following code so that there is always at least one way to get from the left corner to the top right, but the labyrinth is still randomized.
The player starts at the bottom left corner of the labyrinth. He has to get to the top right corner of the labyrinth as fast he can, avoiding a meeting with the evil dragon. Take care that the player and the dragon cannot start off on walls. Also the dragon starts off from a randomly chosen position
public class Labyrinth { private final int size; private final Cell[][] grid;
public Labyrinth(int size) { this.size = size; this.grid = new Cell[size][size]; generateLabyrinth(); }
private void generateLabyrinth() { Random rand = new Random(); for (int i = 0; i < size; i++) { for (int j = 0; j < size; j++) { // Randomly create walls and paths grid[i][j] = new Cell(rand.nextBoolean()); } } // Ensure start and end are…
Change the following code so that it checks the following 3 conditions:
1. there is no space between each cells (imgs)
2. even if it is resized, the components wouldn't disappear
3. The GameGUI JPanel takes all the JFrame space, so that there shouldn't be extra space appearing in the frame other than the game.
Main():
Labyrinth labyrinth = new Labyrinth(10);
Player player = new Player(9, 0); Dragon dragon = new Dragon(9, 9);
JFrame frame = new JFrame("Labyrinth Game"); GameGUI gui = new GameGUI(labyrinth, player, dragon);
frame.add(gui); frame.setSize(600, 600); frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE); frame.setVisible(true);
public class GameGUI extends JPanel { private final Labyrinth labyrinth; private final Player player; private final Dragon dragon; //labyrinth, player, dragon are just public classes
private final ImageIcon playerIcon = new ImageIcon("data/images/player.png");…
Make the following game user friendly with GUI, with some simple graphics. The GUI should be in another seperate class, with some ImageIcon, and Game class should be added into the pane.
The following code works as this: The objective of the player is to escape from this labyrinth. The player starts at the bottom left corner of the labyrinth. He has to get to the top right corner of the labyrinth as fast he can, avoiding a meeting with the evil dragon. The player can move only in four directions: left, right, up or down. There are several escape paths in all labyrinths. The player’s character should be able to moved with the well known WASD keyboard buttons. If the dragon gets to a neighboring field of the player, then the player dies. Because it is dark in the labyrinth, the player can see only the neighboring fields at a distance of 3 units.
Cell Class:
public class Cell { private boolean isWall; public Cell(boolean isWall) { this.isWall = isWall; } public boolean isWall() { return…
Chapter 1 Solutions
Differential Equations: Computing and Modeling (5th Edition), Edwards, Penney & Calvis
Ch. 1.1 - Prob. 1PCh. 1.1 - Prob. 2PCh. 1.1 - Prob. 3PCh. 1.1 - Prob. 4PCh. 1.1 - Prob. 5PCh. 1.1 - Prob. 6PCh. 1.1 - Prob. 7PCh. 1.1 - Prob. 8PCh. 1.1 - Prob. 9PCh. 1.1 - Prob. 10P
Ch. 1.1 - Prob. 11PCh. 1.1 - Prob. 12PCh. 1.1 - Prob. 13PCh. 1.1 - Prob. 14PCh. 1.1 - Prob. 15PCh. 1.1 - Prob. 16PCh. 1.1 - Prob. 17PCh. 1.1 - Prob. 18PCh. 1.1 - Prob. 19PCh. 1.1 - Prob. 20PCh. 1.1 - Prob. 21PCh. 1.1 - Prob. 22PCh. 1.1 - Prob. 23PCh. 1.1 - Prob. 24PCh. 1.1 - Prob. 25PCh. 1.1 - Prob. 26PCh. 1.1 - Prob. 27PCh. 1.1 - Prob. 28PCh. 1.1 - Prob. 29PCh. 1.1 - Prob. 30PCh. 1.1 - Prob. 31PCh. 1.1 - Prob. 32PCh. 1.1 - Prob. 33PCh. 1.1 - Prob. 34PCh. 1.1 - Prob. 35PCh. 1.1 - Prob. 36PCh. 1.1 - Prob. 37PCh. 1.1 - Prob. 38PCh. 1.1 - Prob. 39PCh. 1.1 - Prob. 40PCh. 1.1 - Prob. 41PCh. 1.1 - Prob. 42PCh. 1.1 - Prob. 43PCh. 1.1 - Prob. 44PCh. 1.1 - Prob. 45PCh. 1.1 - Prob. 46PCh. 1.1 - Prob. 47PCh. 1.1 - Prob. 48PCh. 1.2 - Prob. 1PCh. 1.2 - Prob. 2PCh. 1.2 - Prob. 3PCh. 1.2 - Prob. 4PCh. 1.2 - In Problems 1 through 10, find a function y=f(x)...Ch. 1.2 - Prob. 6PCh. 1.2 - Prob. 7PCh. 1.2 - Prob. 8PCh. 1.2 - Prob. 9PCh. 1.2 - Prob. 10PCh. 1.2 - Prob. 11PCh. 1.2 - Prob. 12PCh. 1.2 - Prob. 13PCh. 1.2 - Prob. 14PCh. 1.2 - Prob. 15PCh. 1.2 - Prob. 16PCh. 1.2 - Prob. 17PCh. 1.2 - Prob. 18PCh. 1.2 - Prob. 19PCh. 1.2 - Prob. 20PCh. 1.2 - Prob. 21PCh. 1.2 - Prob. 22PCh. 1.2 - Prob. 23PCh. 1.2 - A ball is dropped from the top of a building 400...Ch. 1.2 - Prob. 25PCh. 1.2 - Prob. 26PCh. 1.2 - Prob. 27PCh. 1.2 - Prob. 28PCh. 1.2 - A diesel car gradually speeds up so that for the...Ch. 1.2 - Prob. 30PCh. 1.2 - Prob. 31PCh. 1.2 - Prob. 32PCh. 1.2 - On the planet Gzyx, a ball dropped from a height...Ch. 1.2 - Prob. 34PCh. 1.2 - Prob. 35PCh. 1.2 - Prob. 36PCh. 1.2 - Prob. 37PCh. 1.2 - Prob. 38PCh. 1.2 - If a=0.5mi and v0=9mi/h as in Example 4, what must...Ch. 1.2 - Prob. 40PCh. 1.2 - Prob. 41PCh. 1.2 - Prob. 42PCh. 1.2 - Prob. 43PCh. 1.2 - Prob. 44PCh. 1.3 - Prob. 1PCh. 1.3 - Prob. 2PCh. 1.3 - Prob. 3PCh. 1.3 - Prob. 4PCh. 1.3 - Prob. 5PCh. 1.3 - Prob. 6PCh. 1.3 - Prob. 7PCh. 1.3 - Prob. 8PCh. 1.3 - Prob. 9PCh. 1.3 - Prob. 10PCh. 1.3 - Prob. 11PCh. 1.3 - Prob. 12PCh. 1.3 - Prob. 13PCh. 1.3 - Prob. 14PCh. 1.3 - Prob. 15PCh. 1.3 - Prob. 16PCh. 1.3 - Prob. 17PCh. 1.3 - Prob. 18PCh. 1.3 - Prob. 19PCh. 1.3 - Prob. 20PCh. 1.3 - Prob. 21PCh. 1.3 - Prob. 22PCh. 1.3 - Prob. 23PCh. 1.3 - Prob. 24PCh. 1.3 - Prob. 25PCh. 1.3 - Prob. 26PCh. 1.3 - Prob. 27PCh. 1.3 - Prob. 28PCh. 1.3 - Verify that if c is a constant, then the function...Ch. 1.3 - Prob. 30PCh. 1.3 - Prob. 31PCh. 1.3 - Prob. 32PCh. 1.3 - Prob. 33PCh. 1.3 - (a) Use the direction field of Problem 5 to...Ch. 1.3 - Prob. 35PCh. 1.4 - Prob. 1PCh. 1.4 - Prob. 2PCh. 1.4 - Prob. 3PCh. 1.4 - Prob. 4PCh. 1.4 - Prob. 5PCh. 1.4 - Prob. 6PCh. 1.4 - Prob. 7PCh. 1.4 - Prob. 8PCh. 1.4 - Prob. 9PCh. 1.4 - Prob. 10PCh. 1.4 - Prob. 11PCh. 1.4 - Prob. 12PCh. 1.4 - Prob. 13PCh. 1.4 - Prob. 14PCh. 1.4 - Prob. 15PCh. 1.4 - Prob. 16PCh. 1.4 - Prob. 17PCh. 1.4 - Prob. 18PCh. 1.4 - Prob. 19PCh. 1.4 - Prob. 20PCh. 1.4 - Prob. 21PCh. 1.4 - Prob. 22PCh. 1.4 - Prob. 23PCh. 1.4 - Prob. 24PCh. 1.4 - Prob. 25PCh. 1.4 - Prob. 26PCh. 1.4 - Prob. 27PCh. 1.4 - Prob. 28PCh. 1.4 - Prob. 29PCh. 1.4 - Prob. 30PCh. 1.4 - Prob. 31PCh. 1.4 - Prob. 32PCh. 1.4 - (Population growth) A certain city had a...Ch. 1.4 - Prob. 34PCh. 1.4 - Prob. 35PCh. 1.4 - (Radiocarbon dating) Carbon taken from a purported...Ch. 1.4 - Prob. 37PCh. 1.4 - (Continuously compounded interest) Suppose that...Ch. 1.4 - Prob. 39PCh. 1.4 - Prob. 40PCh. 1.4 - Prob. 41PCh. 1.4 - Prob. 42PCh. 1.4 - Prob. 43PCh. 1.4 - Prob. 44PCh. 1.4 - Prob. 45PCh. 1.4 - Prob. 46PCh. 1.4 - Prob. 47PCh. 1.4 - Prob. 48PCh. 1.4 - Prob. 49PCh. 1.4 - The amount A (t ) of atmospheric pollutants in a...Ch. 1.4 - An accident at a nuclear power plant has left the...Ch. 1.4 - Prob. 52PCh. 1.4 - Prob. 53PCh. 1.4 - Prob. 54PCh. 1.4 - Prob. 55PCh. 1.4 - Prob. 56PCh. 1.4 - Prob. 57PCh. 1.4 - Prob. 58PCh. 1.4 - Prob. 59PCh. 1.4 - Prob. 60PCh. 1.4 - A spherical tank of radius 4 ft is full of water...Ch. 1.4 - Prob. 62PCh. 1.4 - Prob. 63PCh. 1.4 - (The clepsydra, or water clock) A 12 h water clock...Ch. 1.4 - Prob. 65PCh. 1.4 - Prob. 66PCh. 1.4 - Prob. 67PCh. 1.4 - Figure 1.4.11 shows a bead sliding down a...Ch. 1.4 - Prob. 69PCh. 1.5 - Prob. 1PCh. 1.5 - Prob. 2PCh. 1.5 - Prob. 3PCh. 1.5 - Prob. 4PCh. 1.5 - Prob. 5PCh. 1.5 - Prob. 6PCh. 1.5 - Prob. 7PCh. 1.5 - Prob. 8PCh. 1.5 - Prob. 9PCh. 1.5 - Prob. 10PCh. 1.5 - Prob. 11PCh. 1.5 - Prob. 12PCh. 1.5 - Prob. 13PCh. 1.5 - Prob. 14PCh. 1.5 - Prob. 15PCh. 1.5 - Prob. 16PCh. 1.5 - Prob. 17PCh. 1.5 - Prob. 18PCh. 1.5 - Prob. 19PCh. 1.5 - Prob. 20PCh. 1.5 - Prob. 21PCh. 1.5 - Prob. 22PCh. 1.5 - Prob. 23PCh. 1.5 - Prob. 24PCh. 1.5 - Prob. 25PCh. 1.5 - Prob. 26PCh. 1.5 - Prob. 27PCh. 1.5 - Prob. 28PCh. 1.5 - Prob. 29PCh. 1.5 - Prob. 30PCh. 1.5 - Prob. 31PCh. 1.5 - Prob. 32PCh. 1.5 - Prob. 33PCh. 1.5 - Prob. 34PCh. 1.5 - Prob. 35PCh. 1.5 - Prob. 36PCh. 1.5 - Prob. 37PCh. 1.5 - Prob. 38PCh. 1.5 - Prob. 39PCh. 1.5 - Prob. 40PCh. 1.5 - Prob. 41PCh. 1.5 - Prob. 42PCh. 1.5 - Figure 1.5.7 shows a slope field and typical...Ch. 1.5 - Prob. 44PCh. 1.5 - Prob. 45PCh. 1.5 - Prob. 46PCh. 1.6 - Prob. 1PCh. 1.6 - Prob. 2PCh. 1.6 - Prob. 3PCh. 1.6 - Prob. 4PCh. 1.6 - Prob. 5PCh. 1.6 - Prob. 6PCh. 1.6 - Prob. 7PCh. 1.6 - Prob. 8PCh. 1.6 - Prob. 9PCh. 1.6 - Prob. 10PCh. 1.6 - Prob. 11PCh. 1.6 - Prob. 12PCh. 1.6 - Prob. 13PCh. 1.6 - Prob. 14PCh. 1.6 - Prob. 15PCh. 1.6 - Prob. 16PCh. 1.6 - Prob. 17PCh. 1.6 - Prob. 18PCh. 1.6 - Prob. 19PCh. 1.6 - Prob. 20PCh. 1.6 - Prob. 21PCh. 1.6 - Prob. 22PCh. 1.6 - Prob. 23PCh. 1.6 - Prob. 24PCh. 1.6 - Prob. 25PCh. 1.6 - Prob. 26PCh. 1.6 - Prob. 27PCh. 1.6 - Prob. 28PCh. 1.6 - Prob. 29PCh. 1.6 - Prob. 30PCh. 1.6 - Prob. 31PCh. 1.6 - Prob. 32PCh. 1.6 - Prob. 33PCh. 1.6 - Prob. 34PCh. 1.6 - Prob. 35PCh. 1.6 - Prob. 36PCh. 1.6 - Prob. 37PCh. 1.6 - Prob. 38PCh. 1.6 - Prob. 39PCh. 1.6 - Prob. 40PCh. 1.6 - Prob. 41PCh. 1.6 - Prob. 42PCh. 1.6 - Prob. 43PCh. 1.6 - Prob. 44PCh. 1.6 - Prob. 45PCh. 1.6 - Prob. 46PCh. 1.6 - Prob. 47PCh. 1.6 - Prob. 48PCh. 1.6 - Prob. 49PCh. 1.6 - Prob. 50PCh. 1.6 - Prob. 51PCh. 1.6 - Prob. 52PCh. 1.6 - Prob. 53PCh. 1.6 - Prob. 54PCh. 1.6 - Prob. 55PCh. 1.6 - Suppose that n0 and n1. Show that the substitution...Ch. 1.6 - Prob. 57PCh. 1.6 - Prob. 58PCh. 1.6 - Solve the differential equation dydx=xy1x+y+3 by...Ch. 1.6 - Prob. 60PCh. 1.6 - Prob. 61PCh. 1.6 - Prob. 62PCh. 1.6 - Prob. 63PCh. 1.6 - Prob. 64PCh. 1.6 - Prob. 65PCh. 1.6 - Prob. 66PCh. 1.6 - Prob. 67PCh. 1.6 - Prob. 68PCh. 1.6 - Prob. 69PCh. 1.6 - As in the text discussion, suppose that an...Ch. 1.6 - Prob. 71PCh. 1.6 - Prob. 72PCh. 1 - Prob. 1RPCh. 1 - Prob. 2RPCh. 1 - Prob. 3RPCh. 1 - Prob. 4RPCh. 1 - Prob. 5RPCh. 1 - Prob. 6RPCh. 1 - Prob. 7RPCh. 1 - Prob. 8RPCh. 1 - Prob. 9RPCh. 1 - Prob. 10RPCh. 1 - Prob. 11RPCh. 1 - Prob. 12RPCh. 1 - Prob. 13RPCh. 1 - Prob. 14RPCh. 1 - Prob. 15RPCh. 1 - Prob. 16RPCh. 1 - Prob. 17RPCh. 1 - Prob. 18RPCh. 1 - Prob. 19RPCh. 1 - Prob. 20RPCh. 1 - Prob. 21RPCh. 1 - Prob. 22RPCh. 1 - Prob. 23RPCh. 1 - Prob. 24RPCh. 1 - Prob. 25RPCh. 1 - Prob. 26RPCh. 1 - Prob. 27RPCh. 1 - Prob. 28RPCh. 1 - Prob. 29RPCh. 1 - Prob. 30RPCh. 1 - Prob. 31RPCh. 1 - Prob. 32RPCh. 1 - Prob. 33RPCh. 1 - Prob. 34RPCh. 1 - Prob. 35RPCh. 1 - Prob. 36RP
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