Top answers

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 second g...
DD
Answered by Dominic D. • PAT tutor
9726 Views

How would you integrate ln(x)

To integrate ln(x) you will need to use intergration by parts. As you can differentiate ln(x) (it is equal to 1/x) and there is an implied 1xln(x). As a result you can differentiate ln(x) and integrate the 1...
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Answered by Dominic D. • Physics tutor
5583 Views

What are some of the key motifs explored in Shakespeare's Macbeth?

Throughout Shakespeare's tragedy Macbeth, he explores various motifs in order to portray his underlying message to his audience, both Elizabethan/Jacobean and contemporary alike. The motifs that he implores ...
AG
10918 Views

how do you solve these simultaneous equations?

6x + y = 8 (1) 4x - y = 12 (2) Method 1 elimination: -Adding/subtracting the two equations together to eliminate one of the unknowns (1) + (2) 6x + y = 8 + 4x - y = 12 10x = 20 (/10) x= 2 sub 'x=2' into (2) ...
SG
Answered by Shriya G. • Maths tutor
5801 Views

What are the differences between fast and slow twitch skeletal muscle fibres?

We have two types of muscle in our body with each having different properties, functions and distributions in the human body. Fast twitch muscle fibres (also known as type II muscle fibres) are able to contr...
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Answered by Jack B. • Biology tutor
92120 Views