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So we initially have the relationship y = ln(sin(3x)). As the left hand side is a function of the variable y and the right hand side is a function of the variable x i.e they are implicitly related, we ...

My favourite way to remember whether my answer is positive or negative when I multiply two numbers is to think of the following:

a) If you multiply two numbers with the SAME sign (i.e. tw...

(2 + 3^0.5 )^2 - (2 - 3^0.5 )^2

Firstly we will start by seperating the 2 brackets. This will give us 

1 :      (2+ 3^0.5 )^2

2 :      (2 - 3^0.5 )^2

What is the intergral of 6.x^2 + 2/x^2 + 5 with respect to x?
To answer a question like this you would intergrate each phrase of the addition in tu...

Too calculate this we need to increase to total amount of money in the bank by 3% year on year for 6 years.

Year 0   £500

Year 1   £500 x 1.03 = £515

Year 2   ...