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The Student practiced solving optimization word problems using calculus, including minimizing the sum of squares, maximizing area, and maximizing profit. The session involved setting up equations, finding derivatives, and using critical points to find optimal values. They also reviewed finding rates of change and using derivative tests and reviewed upcoming test dates.

The Student and Tutor covered finding maxima and minima of functions using first and second derivative tests, distinguishing between local and absolute extrema. They worked through several examples, including optimization word problems. The Student was assigned a practice paper with mathematical models and word problems to review for the next session.

The session focused on solving chemistry problems related to thermochemistry, including heat calculations and phase changes, density calculations for crystalline solids, and molarity calculations from solution properties. The student practiced applying formulas and converting units to arrive at the correct answers. The tutor provided guidance on calculator use and problem-solving strategies.

The student and tutor reviewed rational functions, solving linear, quadratic, exponential, logarithmic, and trigonometric equations. They also covered graphical transformations and solving systems of equations. The session included practice problems for each topic and a plan to continue with the next unit in the following session.

The Student and Tutor reviewed the product rule, derivatives of logarithmic, exponential, and trigonometric functions, and the chain rule. The Student practiced applying these rules to various problems. The next session is scheduled to cover Unit 3, with the Tutor preparing questions based on the Student's old test papers and the learning objectives.

The Student and Tutor practiced applying the Clausius-Clapeyron equation to calculate enthalpy of vaporization and estimate normal boiling points. They also reviewed how to identify intermolecular forces in different molecules based on polarity and bonding. The Tutor assigned practice problems for the next session.