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a) We compare the expansion given to the standard binomial expansion (remembering the powers of k).(1+kx)ⁿ=1+n(kx)+(n(n-1)/2)(kx)²+...As this is true for all x (for which the expansi...

First, recall the Product rule: f(x)=g(x)*h(x), f'(x)=h(x)*g'(x)+h'(x)*g(x)This reveals the next step, to find the derivatives of our two subsidiary functions(g and h) d/dx * (sin4x) = 4cos(4x) , and d/dx...

Countries who are dependent on primary products often are constrained in achieving economic development. Such a dependency offers two distinct issues. Firstly, as demand and supply for commodities are pri...

The nucleus of the atoms are usually in excited states after performing a beta decay. By emitting a photon, the nucleus recover stability. The emitted photon has the same energy as the excess energy of th...

Profit maximisation is an objective of a firm that seeks to produce output where Marginal Cost is equal to Marginal Revenue. Therefore, it is assumed rationally that this would be the most important objec...