Mathematics 9709,11 Oct Nov 2024 | Cambridge AS - A Level Past Papers With Mark Scheme

1. Binomial Expansion & Coefficient Identification | Finding Unknown Constants – Determining a coefficient using expansion terms and solving for a given power of \\( x \\).

2. Curve Differentiation & Stationary Points | Finding Function Parameters – Solving for constants by equating derivatives to zero at a given point.

3. Sector & Arc Geometry | Calculating Perimeter – Finding the perimeter of a shaded region involving multiple arcs and straight-line segments.

4. Intersection of Curves & Lines | Solving for All Values of a Parameter – Proving that a curve and a straight line always intersect for any constant \\( k \\).

5. Gradient & Equation of a Curve | Finding Function from Derivative – Determining a function from its derivative and a given point.

6. Circle Geometry & Distance Calculation | Finding Minimum and Maximum Distances – Computing the distances between centers and extrema of two given circles.

7. Tangent Equations & Area Under a Curve | Finding Slopes and Integrating Regions – Deriving the equation of a tangent line and computing the area bounded by a curve.