Thursday 18 April 2024

A Level Further Maths: Demystifying Polar Coordinates through Shapes

A Level Further Maths: Demystifying Polar Coordinates through Shapes
The above shape is known as cardioid in mathematics. It is produced by the polar equation, r = a(1 + cos(Θ)), where a can be an integer. You can practise a cardioid with the following simulation and see how r and Θ do the magic to produce the shape. Rose Petals You can practise the creation of shapes …

Saturday 13 April 2024

The exponential graph

The exponential graph
The exponential function is a special exponential function; the gradient of any point on the curve is the same as the value of the function at that point.