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The Tutor and Student worked through problems involving radioactive decay and half-life calculations, practicing the application of decay formulas and solving for rates and time. They focused on equating different decay models to find unknown variables and discussed upcoming vacation plans.

The tutor and student reviewed exponential decay, specifically focusing on half-life problems. They practiced solving various problems involving calculating remaining amounts, determining half-lives, and finding elapsed time. The tutor and student planned to continue practicing general math problems in upcoming sessions.

The Tutor and Student reviewed applications of quadratic functions using a word problem about a rocket's flight, including calculating maximum height and time. They then transitioned to rational functions, focusing on identifying and calculating vertical and horizontal asymptotes based on the degrees and coefficients of polynomials in the numerator and denominator.

The Student and Tutor practiced converting quadratic equations between general and standard forms. They worked on finding the vertex, axis of symmetry, intercepts, domain, and range of quadratic functions. The Tutor introduced a shortcut method for finding the vertex directly from the general form equation, as well as using the discriminant to determine the number of x-intercepts.

The Tutor and Student reviewed quadratic functions, covering their standard and general forms, graphical representation as parabolas, and key transformations. They practiced identifying the vertex, axis of symmetry, intercepts, domain, and range for given quadratic equations.

The class session reviewed and practiced compound interest calculations, including the formula and different compounding frequencies. The tutor and student then worked on depreciation problems, focusing on decay factors and calculating values over time. They planned to continue practicing these financial mathematics concepts.