To insert an HTML element as the first child of a parent element, you should use the prepend() method. This method adds the element as the first child, making it the top element within the parent. appendChild() adds it as the last child. insertBefore() requires specifying a reference node. createElement() creates an element but doesn't insert it.

In event handlers, such as those in JavaScript for the web, the "this" keyword typically refers to the DOM element that triggered the event. This behavior allows developers to access and manipulate the specific element that triggered the event, making it a powerful feature in front-end web development.

To handle different mathematical operations (+, -, *, /) based on user input in a calculator application, it's best to create separate case statements for each operation within a switch statement. This approach is clear and maintainable, allowing you to perform the corresponding calculation for each operation. Using regular expressions within a single case or converting the input into a numerical expression unnecessarily complicates the code. An if-else statement is less idiomatic and less efficient for this purpose.

The fetch() method is commonly used to send data as JSON using the Fetch API. To send JSON data, you can create a request object and use the JSON.stringify() method to convert your data into a JSON string before sending it.

In this scenario, you would implement the Singleton Pattern. The Singleton Pattern ensures that a class has only one instance and provides a global point of access to that instance. It's useful when you need to maintain a single instance of an object that is shared across multiple parts of your application. This can help in scenarios such as creating a global configuration or managing a resource pool.

The main advantage of using arrow functions is that they do not create a new execution context or this binding. Instead, they capture the this value from their surrounding lexical scope. This behavior is known as "lexical scoping," and it provides a predictable way to maintain the value of this in various situations. Thus, the correct option is execution context.

In JavaScript, NaN is not equal to itself. So, the expression NaN == NaN evaluates to false. This behavior is because NaN represents a value that is "Not-a-Number," and it's treated as unordered and not equal to any other value, including itself.

The "else" statement in JavaScript serves the purpose of specifying an alternate code block to execute when the condition specified in the "if" statement is false. It provides an alternative path for your code's execution.

In JavaScript, the ** operator is used to exponentiate a number. For example, 2 ** 3 evaluates to 8, as it calculates 2 raised to the power of 3. This operator was introduced in ECMAScript 2016 (ES6) to provide a concise way of performing exponentiation.

The innerHTML property in JavaScript is used to access the content of an HTML element. It allows you to retrieve or modify the HTML content within the element, including any child elements, text, or HTML tags.