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Differentiate the function f(x) = 2x^3 + (cos(x))^2 + e^x

When differentiating a function that is the sum of three different parts we can differentiate each part separately: a) 2x 3 is easy to differentiate. We remember the rule d/dx[ax b ] = abx b-1 . So 2x 3 --&g...
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Answered by Seth P. • Maths tutor
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A stationary particle explodes into 3: A (to the left), B and C (both to the right). B has mass m and speed 3v. C has mass 2m and speed v. A has speed 2v. What is the mass of A in terms of m?

The key to solving this is remembering that momentum is conserved. The large, initial particle has no speed so its momentum is zero. Therefore, if we add together the momenta of the final particles we also g...
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Answered by Seth P. • Physics tutor
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How to create a convincing argument in an exam

Read as much as possible and consult multiple sources. When you explore the different ways in which historians write you can pick up manerisms that develop your own writing skills and thus give your writing ...
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Answered by Alexander H. • History tutor
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How best to maximise marks in exams, for example in definitions or in 20 mark questions

For any question the you should first consult the mark schemes and ensure that you are understanding exactly what they are saying. For a definition question repition is key, making sure that you understand t...
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Discuss the advantages and disadvantages for a new business of using an overdraft as a way of managing its cash flow.

With high initial setup costs and a lack of a steady revenue stream, it is a common situation for a new business to encounter cash flow problems while waiting for funds from its debtors to arrive. An overdra...
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