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We have 3=2/x₁=x₁+2/x₂=x₂+2/x₃=x₃+2/x₄=.... How can we guess at a general expression? One way is to try and see one by looking ...

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...

A multifaceted and enigmatic style of modern art, Cubism is defined primarily by its break with art historical tradition. Launched by Picasso and Braque in the first decade of the twentieth-century in Par...

A number of differences exist between the structure of animal cells and plant cells. The most prominent difference is the presence of both cell walls and cell membranes in plants, while animal cells only ...