1. Recursive Sequences: Finding terms and summing series.

2. Circle Geometry: Determining center, radius, and tangents.

3. Logarithmic Equations: Solving using logarithmic properties.

4. Binomial Expansion: Expanding and simplifying expressions.

5. Profit Maximization: Using calculus to find maximum profit.

6. Differentiation and Integration: Solving calculus problems involving derivatives and integrals.