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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 ...

Government bonds have only become negative in recent years, and we partially explain this by adapting our standard demand-supply diagram. Unlike in a normal market, government bonds are not valued by pric...

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(...