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Mathematical induction is a type of direct proof, where you can prove sequences or series. A good example of this is that we can prove 1 + 3 + 5 + .... + (2n-1) = n^2. There are 4 steps: 1. Prove the firs...

Find the value of x in (4⁵⋅x+32²)⋅2⁵=2¹⁶⋅x

First we transform everything into powers of 2 as all the numbers involved in...

 You should use the mode if the data is qualitative (colour etc.) or if quantitative (numbers) with a clearly defined mode (or bi-modal). It is not much use if the distribution is fairly even. Median You ...

Firstly, differentiate the equation y=x³+3x²+4x+2 to find the gradient function. The gradient function is dy/dx and is found to be 3x²+6x+4 = f'(x) after differentiation. ...

If thinking about graphs, differentiation is the gradient, and integration is the area between the line and the axis. These operations are useful if we know values that are related through them, for examp...