Miscellaneous – Geometry
Diagonal length of square with an area of 30
Cosine and sine rules and area of triangle
[NO AUDIO] Cosine Rule and Areas of compound shape
Miscellaneous – Matrices/Linear Algebra
Using the properties of determinants
Inverse of 3×3 matrix (using cofactor matrix)
Miscellaneous – Mechanics/Physics
Centre of mass (centroid) of area between 2 curves
Miscellaneous – Multivariable Calculus
Gradient of a line cutting a surface using partial derivative
Miscellaneous – Numerical Methods
Differentiation to find turning points and Newton Raphon method to find root of a cubic function
Miscellaneous – Optimisation
Finding minimum distance to parabola using differentiation
Miscellaneous – Optimisation, Geometry
3D modelling and differentiation to find minimum area of a triangular prism
Optimisation of area of prism using differentiation
Optimising 3D area of cylindrical pill using differentiation
Miscellaneous – Polar Coordinates
Polar co-ordinate angles in the 4 quadrants