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If y = (4x^2)ln(x) then find the second derivative of the function with respect to x when x = e^2 (taken from a C3 past paper)

The first thing to recognise is that this function is a product of two functions: namely, 4x^2 and ln(x), thus we must employ the product rule in order to find the solution. As you may recall, the product ru...
CS
Answered by Caspar S. • Maths tutor
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How to solve the simultaneous equations 3x+2y=7 and 5x+y=14

Firstly we rearrange one of these equations so that we have y on one side of the equation on its own. Let's do this with the second equation. So from 5x+y=14, we can minus 5x from both sides to get: y=14-5x ...
IB
Answered by Imogen B. • Maths tutor
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What is meant by the term polygenic inheritance? [2 marks]

This term refers to the idea that a single characteristic is encoded for my multiple genes at different loci . This gives rise to continuous variation.
OF
Answered by Odette F. • Biology tutor
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Explain how a vaccination prevents infection [3 marks]

The main way in which vaccinations prevent infection is by causing white blood cells to produce antibodies . These antibodies are produced rapidly upon re-infection and kill the pathogens.
OF
Answered by Odette F. • Biology tutor
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用括号中的词语“只要……就……”重写下面的句子，并保持句子原意:"凡是自己想做又能够做的都是休闲。"

只要自己想做又能够做的就是休闲。 (This is a question from A level Chinese Test Paper 2 - Reading and Writing)
MS
Answered by Mingfang S. • Mandarin tutor
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