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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(...

n.b Whilst this answer addresses Cicero’s ‘Pro Milone’, the approach demonstrated here may be successfully applied to any text, verse or prose, that might be set for the 20 mark ‘essay question’ of the La...

First, we want all the terms with X on one side, so let's +5 to both sides.3x² = 48Let's simplify, so we get x² on its own.48÷ 3=16x² = 16Now, we need x 'unsquared', so we...

First simplify the equation! This means making the side with your Xs on easier to read.162÷2=81Now we have x² = 81 √81=9(Remember 9x9=81.)