Analyze the following  code and describe what it does.

void main() {

  List<String> words = ['apple', 'banana', 'cherry', 'date'];

  var capitalizedWords = words.map((word) => word[0].toUpperCase() + word.substring(1));

  print('Capitalized Words: ${capitalizedWords.toList()}');

}

Identify any issues in the following  program and suggest improvements.

void main() {

  int x = 15;

  int y = 0;

  int result;

  if (y != 0) {

    result = x ~/ y;

    print(result);

  } else {

    print('Error: Division by zero is not allowed');

  }

}

Write a  dart snippet that returns the factorial of a given integer.

Create a  program that accepts a list of strings and filters out only the strings that start with a specific letter (e.g., 'A').

Write code to display a list of images in a grid layout with each image displayed in a 100x100 pixel square in Flutter.