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Equation 1) x² + y² = 25 Equation 2) y - 3x = 13 First you need to substitute a variable so there is only one unknown in the equation: 2) y = 13 + 3x Substituting this into equation ...

To integrate this we need to use the chain rule, substituting cos2x = u Integral becomes: u²sin³2x dxChain rule: dy/dx = du/dx dy/du du/dx = -2sin2x --> dx = -1/2sin2x du Substitu...

So first you need to multiply out the brackets so you can simplify the equation. Remember the acronym FOIL: First, Outer, Inner, Last.10w^2 + 35w - 12w - 42
And then you need to simplify
10w^2 +...

DNA is in a double helix structure, meaning there are two strands. When we need DNA to replicate, for example when a cell divides during growth, the strands undergo unwinding. This process is done by an e...

Diminished Responsibility and Loss of Control are both partial defences to murder (sometimes referred to as voluntary manslaughter). Diminished Responsibility is codified under S.52 of the Coroners and Ju...