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A tank contains 500L of salty water. Pure water is pumped in at a rate of 10 L/sec, and the the mixture is pumped out at a rate of 15L/ sec. If the concentration of salt is 5g/L initially, form an equation of amount of salt, s, at t seconds.

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, ...

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Explore the significance of the emptiness of modern life in this extract

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...

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Describe an IDE and its features in programming. (3 Marks)

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

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What is the doctrine of consideration in contract Law, and what was the impact of the case of Williams v Roffey Bros

Doctrine of consideration is based upon the idea of ‘reciprocity’. A promise in contract law should not be enforceable unless the promisee has given something in exchange for the promise (i.e. Remuneratio...

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Prove the Quotient Rule using the Product Rule and Chain Rule

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(...

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