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This is a word problem with the task of forming a first order differential equation (or DE), and involves two major aspects that need to be worked out: the volume of water in the tank at any given point, ...

Within this extract, the emptiness of modern life is characterised as life without purpose or meaning; namely a spiritual emptiness resulting from being engulfed by the pressures of societal suburban expe...

IDE = Integreated Development EnvironmentAutocompletion of code, e.g finishing statementsBracket matchingTranslator , would also accept compiles/interprets codeDebug mode, e.g could step through codeLibra...

given that the chain rule is d/dx(f(g(x))) = g'(x)f'(g(x))given that the product rule is d/dx(f(x)g(x)) = f'(x)g(x) + f(x)g'(x)given that the quotient rule is d/dx(f(x)/g(x)) = (g(x)f'(x) - g'(x)f(x))/(g(...

For a curve of f(x) against x, we can take the general point (x, f(x)) on the curve. By moving horizontally along the x-axis a distance of h, we also have the point (x+h, f(x+h)) on the curve. The gradien...