Mathematics 9709,32 Oct Nov 2024 | Cambridge AS - A Level Past Papers With Mark Scheme

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1. Binomial Expansion & Approximation | Expanding \\((9 - 3x)^2\\) up to the term in \\(x^2\\), simplifying coefficients.

2. Complex Numbers & Cartesian Form | Finding square roots of \\(6 - 8i\\) by forming and solving a quartic equation.

3. Trigonometric Equations & Iteration | Showing a given trigonometric equation has one root and proving an iterative sequence converges to this root.

4. Vectors & Trapezium Properties | Finding a missing position vector, computing the intersection of diagonals, and calculating angle \\(ABC\\) using the scalar product.

5. Differential Equations & Volume Flow | Formulating and solving a differential equation governing the growth of a spherical balloon.

6. Stationary Points & Integration | Finding the stationary point of \\(f(x) = 3e^x - 2e^{-2x}\\) and evaluating a logarithmic integral using partial fractions.

CIE AS & A Level Mathematics (9709) Nov 2024

Laura Bellini

Classification: Paper 3

Page count: 20

Viewed: 47

Last update: 3 months ago

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Mathematics 9709,32 Oct Nov 2024 | Cambridge AS - A Level Past Papers With Mark Scheme

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