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when differentiating, we multiply the power by the coefficient and then take the power away by 1 so : y= 4x^3 + 3x^2 -5x +1 then 4 x 3= 12 and 3-1 = 2 meaning the solution is 12x^2. 2 x 3 = 6 and 2-1 = 1 ...

Taking the log of both sides we get 5x * ln2 = (2x+1) * ln3.
Taking everything that contains x to the left side: x * (5ln2 - 2ln3) = ln3.
Therefore x=ln3/(5ln2 - 2ln3)
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It has to do with the structure of the ATP synthase protein. The part in the centre moves 120 degrees with each prototon that passes through. This makes the 3 ATP/ADP binding sites to change shape. Each o...

divide fraction by 2

3x+2 / x-1  + 3 = 4

multiply by x-1

3x + 2 + 3x - 3 = 4x - 4

6x -1 = 4x -4

2x = -3

x= -3/2

As identical (monozygotic) twins share 100% of the same genetic material, we can say that their genotype is identical. However, this is only an example of how nature can influence behaviour that is partly...