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What is the derivative of f(x) = 3x² + 2x - 5?

f'(x) = 6x + 2

Find the integral of ∫(2x + 3) dx.

x² + 3x + C

What is the limit of sin(x)/x as x → 0?

1

What is the second derivative of f(x) = ln(x)?

-1/x²

Solve the differential equation dy/dx = 3y.

y = Ce^(3x)

📚 History – World War II Summary

What were the main causes of World War II?

Treaty of Versailles, rise of fascism, economic depression, and expansionism by Axis powers.

Name the Allied and Axis Powers.

Allies: USA, UK, USSR, France; Axis: Germany, Italy, Japan.

What was the significance of D-Day?

It marked the beginning of the Allied liberation of Western Europe.

Who were the main leaders of the U.S., Britain, and Germany?

Roosevelt (US), Churchill (UK), Hitler (Germany).

What was the outcome of the Yalta Conference?

Plans for post-war Europe, division of Germany, and agreement to form the United Nations.

🧬 Biology – Human Anatomy Basics

What are the major functions of the circulatory system?

Transport oxygen, nutrients, hormones, and remove waste.

Name the four chambers of the human heart.

Right atrium, right ventricle, left atrium, left ventricle.

What is the role of mitochondria?

They are the powerhouse of the cell, producing ATP through respiration.

Describe the path of air from the nose to the lungs.

Nose → Pharynx → Larynx → Trachea → Bronchi → Bronchioles → Alveoli.

What's the difference between red and white blood cells?

Red carry oxygen; white fight infection.

🎯 Quick Quiz – Java Basics

1. What is the default value of a boolean in Java?

2. Which keyword is used to create a subclass?

3. Which method is the entry point in a Java program?

4. What does `System.out.println()` do?

5. What is the solution to the equation 2x + 3 = 7?

6. What is the value of f(3) if f(x) = x² - 4x + 5?

7. Which river was central to Ancient Egyptian civilization?

8. Who was the first emperor of Rome?

9. What organelle is responsible for photosynthesis?

10. Which macromolecule is made of amino acids?

11. What does the 'new' keyword do in Java?

12. Which of these is a valid data type in Java?

🔢 Basic Math

1. Add two numbers:

2. Subtract two numbers:

3. Multiply two numbers:

4. Divide two numbers:

5. Check if a number is even or odd:

📐 Number Theory

21. Check if a number is prime:

22. Find all prime numbers up to N:

23. Find the greatest common divisor (GCD):

🔄 Loops & Series

41. Print multiplication table of a number:

42. Print Fibonacci sequence up to N terms:

💡 Logic & Puzzles

61. Find missing number in an array 1 to N:

62. Find duplicate number in an array:

🧮 Advanced Challenges

81. Implement Euclidean algorithm for GCD:

82. Count set bits in an integer (bitwise):

"The expert in anything was once a beginner." – Helen Hayes

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