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Given that y = x^4 tan(2x), find dy/dx

Here we have a product of two functions - they are being multiplied together - so we need to use the product rule. The product rule is: if y = u·v, dy/dx = v·u' + u·v' (where f' stands for df/dx). u = x^4 du...
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Answered by Douglas B. • Maths tutor
10962 Views

How is DNA replicated?

Scientists have proposed several models of DNA replication but the currently accepted model is called the 'Semi-Conservative' model. The Semi-Conservative model of DNA replication was discovered by two scien...
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Answered by Gurpreet D. • Biology tutor
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Applying material from Item A, analyse two reasons for gender difference in achievement (10 marks)

Firstly, as stated in Item A, the impact of feminism has led to major shift in attitudes towards education. Sue Sharpe showed there had been a massive shift in priorities from the 1950s to the 1990s – girls ...
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Answered by Fiona O. • Sociology tutor
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Find the first four terms in the binomial expansion of (2 + x) ^5

Firstly we must take the 2 out of the bracket, as a binomial expansion must have a coefficent of 1 (2 + x) 5 = 2 5 (1 + 0.5x) 5 Then, it is a good idea to quote the binomial expasion formula (you can often p...
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Answered by Fiona O. • Maths tutor
20211 Views

Solve x2 +2x – 4 = 0, leaving your answer in simplest surd form (4 marks, non calculator question)

'Simplest surd form' is a clue that quadratic factorising will not work for this question, so we must instead use the quadratic formula. It is always a good idea to quote this as marks are often available fo...
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Answered by Fiona O. • Maths tutor
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