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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 with the following applet interactively: note the value of n, an odd number,  and the number of petals.   Fermat's Spiral The polar equation of Fermat's Spiral is as follows: r = a√Θ, where a > 0. Fermat's spiral is produced as follows:

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.
Multiple Choice Questions - GCSE Physics - Magnetism & Magnetic Fields - Time: 30 minutes Created and Programmed by Vivax Solutions   Start the Quiz   Submit Quiz