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Substitute Cosh^2(x) = 1 + Sinh^2(x) into the starting equation (This formula should be known)Make 0 the subject 3Sinh^2(x) - Sinh(x) - 2 = 0Substitute u = Sinh(x) and solve for uSubstitute Sinh(x) back i...

First, add the two fractions together. The common denominator is 2(x+1), or 2x+2. The first fraction becomes 6/(2x+2). The second fraction becomes (x+1)(3x-9)/(2x+2), or (3x²-6x -9)/(2x+2). Add...

The second differential of the equation of the curve will be positive if it is convex. This is because, by definition, convex means that the gradient of a curve is increasing. To find the gradient of a cu...

The ethnic differences in educational achievement are clearly visible. Sociological theories take into account both the factors within the educational system and external from it, that may have caused the...

No one can predict which poem will appear in the Unseen Poetry section of your GCSE, but becoming more comfortable with identifying poetic techniques and why poets might use these to achieve a particular ...