Top answers

Rationalise the complex fraction: (8 + 6i)/(6 - 2i)

The problem with this fraction is the "i" on the denominator, it is not rational. To rationalise this fraction we use the complex conjugate . This sounds more complicated than it is. If a + ib is a...
HC
Answered by Harry C. • Maths tutor
10781 Views

How do I evaluate something like 3070^2-3069^2?

This looks pretty daunting, but the key to this sort of a problem, which has come up a couple of times in previous PAT tests, is to recognise that this expression is actually the difference of two squares. I...
SC
Answered by Sam C. • PAT tutor
3580 Views

Find the maximum or minimum value of the function: y = 6x^2 + 4x + 2

The easiest way to solve this problem is by using differentiation . dy/dx = (6x^2 + 4x + 2)/dx dy/dx = 6 2 x^1 + 4 1 x^0 + 0 dy/dx = 12x + 4 When you set the derivative equal to zero you find a point on the ...
HC
Answered by Harry C. • Maths tutor
11529 Views

What's the difference between direct and indirect taxation

Direct taxes are paid to the government straight from the individual or group taxpayer. E.g income tax (comes straight from the individuals' income) or corporation tax (comes straight from the firm). Indirec...
CM
Answered by Colm M. • Economics tutor
17494 Views

Do you need to quote other historians in exams?

In most A Level mark schemes, this is not a requirement. Examiners are looking for you to demonstrate your understanding of key historical concepts and ideas, show that you understand the significance of a q...
CM
Answered by Colm M. • History tutor
8150 Views