📘 MATHEMATICS

1. The problem is to find the value of $\frac{\pi}{2}$.\n\n2. $\pi$ (pi) is a mathematical constant approximately equal to 3.14159.\n\n3. To find $\frac{\pi}{2}$, divide the value

1. **Problem Statement:** Define and give examples of (i) one-to-one function, (ii) onto function, and (iii) bijection between non-empty sets $X$ and $Y$. 2. **Definitions and Exam

1. **Problem statement:** Find the Fourier series of the periodic function $f(x) = x^2$ defined on the interval $1 < x < 2$.

1. **State the problem:** Find the Fourier sine transform of the function $$f(x) = x$$ defined on the interval $$0 < x < a$$. 2. **Recall the formula for the Fourier sine transform

1. The problem is to understand the number system for 6th grade students. 2. The number system includes different types of numbers: natural numbers, whole numbers, integers, ration

1. The first amazing math fact is that there are infinitely many prime numbers. This was proven by Euclid around 300 BC. The surprising part is that no matter how far you go along

1. The problem asks for the value of $\pi$.\n\n2. $\pi$ is a mathematical constant representing the ratio of a circle's circumference to its diameter.\n\n3. The value of $\pi$ is a

1. The problem asks: What is a set? 2. A set is a fundamental concept in mathematics that refers to a collection of distinct objects, considered as an object in its own right.

1. Problem: Understand the properties and types of triangles. 2. Formula and Rules: The sum of interior angles of a triangle is always $180^\circ$.

1. مسئله را بیان می‌کنیم: حل عددی به معنای یافتن مقدار تقریبی یک عدد یا جواب معادله است. 2. برای حل عددی، ابتدا باید مشخص کنیم که چه عدد یا معادله‌ای را می‌خواهیم حل کنیم.

1. The symbol \(\Delta\) (Delta) is commonly used in mathematics and science to represent a change or difference in a quantity. 2. For example, if you have a variable \(x\), then \

1. The problem is to prove a mathematical statement, but the exact statement is missing from your message. Please provide the full statement or equation you want to prove. 2. Gener

1. **Unit I: Sequences** Definition: A sequence is an ordered list of numbers. It can be finite (ends after a certain number of terms) or infinite (goes on forever).

1. **UNIT 1 APPLY ELEMENTARY FUNCTION** This unit covers the basics of elementary functions such as linear, quadratic, polynomial, exponential, and logarithmic functions.

1. **Problem Statement:** Find the number of chairs that can be purchased for 56500 if 17 chairs cost 9605. 2. **Formula:** Use direct proportion formula: $$\frac{\text{Cost}_1}{\t

1. **Problem:** Find the total distance covered by an athlete in taking 2 rounds of a rectangular park of length 150 m and breadth 80 m. 2. **Formula:** The distance covered in one

1. Additional Mathematics is a subject that extends basic mathematics concepts to more advanced topics. 2. It typically includes algebra, calculus, trigonometry, coordinate geometr

1. Problem: Find the ratio of volumes of a cylinder and a cone with radii ratio 3:4 and heights ratio 2:3. Formula: Volume of cylinder = $\pi r^2 h$, Volume of cone = $\frac{1}{3}

1. **Stating the problem:** We want to explain the fractal dimension examples for the square line, cube, and Sierpinski triangle so your classmates can understand how dimension rel

1. State the problem: Create an exam paper based on the listed topics from various math books and chapters. 2. Identify key topics: The topics include Pythagoras' Theorem, Linear G

1. **Problem:** Determine which statement about rational and irrational numbers is true. 2. **Step 1:** Recall definitions: