Notes 3
If x + y + z = 0, then find the value of x3 + y3 + z3 – 3xyz. Given: x + y + z = 0 Concept Used: x3 + y3 + z3 = {(x + y + z) × (x2 + y2 + z2 – xy – yz – zx)} + 3xyz Calculation: ⇒ x3 + y3 + z3 = {(x + y + z) × (x2 + y2 + z2 – xy – yz – zx)}…
Ocean of Knowledge
If x + y + z = 0, then find the value of x3 + y3 + z3 – 3xyz. Given: x + y + z = 0 Concept Used: x3 + y3 + z3 = {(x + y + z) × (x2 + y2 + z2 – xy – yz – zx)} + 3xyz Calculation: ⇒ x3 + y3 + z3 = {(x + y + z) × (x2 + y2 + z2 – xy – yz – zx)}…
In a ΔABC, right angled at B, if tan A = \(\frac{1}{{\sqrt 3 }}\), then sin A . cos C + cos A . sin C = ______. GIVEN: Triangle ABC ,right angled at B i.e. angle B = \(90^\circ\) tan A = \(1\over\sqrt3\) FORMULA USED: tan A = P/B sin A= P/H Cos C= B/H where , P =…
In an election between two candidates, 80% of the eligible voters cast their votes, 5% of the votes cast were declared invalid. A candidate got 10545 votes, which were 75% of the total valid votes. Find the total number of eligible voters. Given: 80% of the eligible voters cast their votes, In which 5% were…
requests is a Python library that makes it easy to send HTTP requests using Python. It provides a convenient interface for working with HTTP requests, abstracting away the complexities of making requests behind a beautiful, simple API. To use requests, you first need to install it using pip, the Python package manager. You can do…
In PHP, you can use the file_get_contents function or the curl extension to send HTTP requests to a server and retrieve the response. Here is an example of how to use file_get_contents to send a GET request and retrieve the response from a server: You can also use the stream_context_create function to specify additional options…
PHP can be used to interact with databases, allowing you to store and retrieve data from a database in your web application. To use a database with PHP, you will need to have a database management system (DBMS) installed on your server, such as MySQL, MariaDB, or PostgreSQL. To connect to a database from a…
PHP forms allow you to collect data from users and send it to a server for processing. Forms are typically used to submit information such as names, email addresses, and comments, or to make selections from a list of options. Here is an example of a simple form in PHP: This form has three fields:…
In PHP, objects are used to represent real-world entities or abstract concepts. An object is a data type that consists of both data and functions that operate on that data. Objects are created from classes, which define the structure and behavior of the object. Here is an example of how to define a class in…
Arrays are a data type in PHP that allow you to store and manipulate a collection of values. They are similar to lists or sequences in other programming languages. There are two ways to create an array in PHP: Both of these methods create an array with five elements, numbered 0 through 4. The elements…
PHP is a programming language that is commonly used for web development. One of the key features of PHP is the ability to create and use functions. In this article, we will look at some examples of how to use functions in PHP. A function is a block of code that performs a specific task….