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There are two definitions of the sine and cosine functions that anyone who uses contemporary maths, and I do mean anyone, uses silently or otherwise. The first is as follows:'Rotate the point (1,0) in Euc...

Simplify the equation to y=u^3/2 where u = 6x² -5Use the chain ruledy/dx = dy/du x du/dxdy/du = (3/2)u^1/2du/dx = 12x - 0Therefore dy/dx = (3/2)u^1/2 x 12xBut u = ...

Change both the denominators to 6...Times 13/2 by 3 to get 39/6Times 5/3 by 2 to get 10/6
Then its 39/6 - 10/6 and then look at the numerator and work out 39-10 = 29The answer is therefore 29/6

A prime factor is a factor (or divisor) that cannot be divided by another number.So we start with the first prime number 2: 56 / 2 = 28.8 is even, so we can divide by 2 again, 28 / 2 = 14.14 is even so we...

3x(x-2)/(2x+1)(x-2)(3x-5) 3x/(2x+1)(3x-5)