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Implement insertion, deletion, traversal, and height calculations, then analyze behavior across balanced and unbalanced inputs.

Design a normalized relational schema for a lending system, then validate it with SQL queries and sample transactions.

Solve applied integration problems across area, accumulation, and motion, with written interpretation for each result.

Use matrix methods to model traffic flow across a small network and explain how constraints affect the solution space.

Analyze motion data from a cart experiment, model forces, calculate uncertainty, and connect results to Newton's laws.

Compare two synthesis routes for a target molecule and justify the preferred route using yield, selectivity, and safety.

Interpret microscopy observations from prepared slides and connect visible cell structures to function and experimental limits.

Assess a proposed price regulation using microeconomic models, welfare diagrams, and stakeholder impact analysis.