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Optical Isomerism is a type of stereoisomer. The molecule has a chiral centre which is where the are four different atoms attached to the central atom. This means that they become mirror images of each ...

Both Cecil Collins (1908-1989) and Julian Trevelyan (1910-1988) and their respective works The Quest (1938) and Rubbish May be Shot Here (1937) respond directly to the period in which th...

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...

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...

Use the Taylor series expansion for the following three functions: f(θ) = e^(iθ), g(θ) = cos(θ) and h(θ) = sin(θ). We should find that f(θ) = e^(iθ) = 1 + iθ - (θ^2/2!) - i(θ^3/3!) + ... = Sum(θ^n/n!), g(...