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How do I approach the essay section of the TSA?

The essential criteria that Oxford is looking for is intellectual curiosity and how you use this to explore a topic/question/statement. Therefore, you should be prepared to answer in a way that demonstrat...

RH
8067 Views

When is the inequality x^4 < 8x^2 + 9 true?

If we consider this like a normal quadratic problem, this becomes easy

x4 < 8x2 + 9

x4 - 8x2 - 9 < 0

(x2...

JP
Answered by Jesse P. MAT tutor
3567 Views

What is the sum of the series 2/3 − 2/9 + 2/27 − ....? (PAT Q1 2013)

This is the sum of a geometric series with an infinite number of terms.First, find the common ratio:(-2/9)/(2/3) = -1/3 , (2/27)/(-2/9) = -1/3Therefore, the common ratio is -1/3-1<(-1/3)<1 therefore...

KM
Answered by Kirill M. PAT tutor
15574 Views

If a bullet is shot into a suspended mass and does not pass through why can you not just use conservation of energy?

Energy will be lost due to the plastic deformation of the mass as the bullet enters the mass. However momentum will always be conserved, so you can use this to find the speed of the mass when the bulle...

DD
Answered by Dominic D. PAT tutor
2912 Views

How are you to find 2007^2 − 2006^2 without a calculator?

Like with many questions in the PAT test once you know what to do it is quite easy! To solve you can use a difference of two squares i.e. (2007-2006)(2007+2006). As the first bracket gives 1 and the se...

DD
Answered by Dominic D. PAT tutor
8968 Views

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