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A trillion is 10^12. Which of the following is bigger: the three trillionth root of 3 or the two trillionth root of 2? You may assume that if 0 < x < y, then 0 < x^n < y^n for integer values of n greater than or equal to 1.

For this sort of question, the easiest approach is to make an educated guess at the correct answer, and prove that this must be correct by contradiction. As taking the root of something has a large effect...

BC
Answered by Benjamin C. MAT tutor
1472 Views

Is there a difference between Law and Morality?

This question points to the clash between legal positivism and natural law theory. It can be interpreted in two different ways. The first interpretation would consider whether there is a requirement that ...

MS
Answered by Mohamed S. LNAT tutor
4930 Views

How to answer this essay - The internet and instant communication technologies are profoundly changing our world for the better. Do you agree?

Start brainstorming quickly within one minute i.e. all your ideas for the essay question. Then allocate the answers into your structure of introduction - 2-3 main body paragraphs - conclusion. Throughout ...

CC
Answered by Christine C. LNAT tutor
3049 Views

Should the law on abortion in England and Wales be changed?

This essay will argue in favour of a change to the law in one key respect, namely decriminalising all abortions. To do so, two key points will be made: abortion is morally defensible in most circ...

SI
Answered by Sam I. LNAT tutor
2202 Views

A publisher produces magazines, all of which have a number of pages which is a multiple of 32. Thus, a magazine can have 32, 64, 96....... pages. The front cover is always counted as page 1. The centre spread of the magazine could have pages numbered

96 and 97.  

JK
Answered by Jack K. TSA Oxford tutor
9001 Views

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