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Write 0.2(54) as a fraction in its simplest form. (Where 0.2(54) = 0.254545454...)

Let x = 0.2(54) = 0.2545454...

Then 100x = 25.454545... = 25.4(54)

So 99x = 100x - x = 25.4(54) - 0.2(54) = 25.2

Hence 990x =252

Therefore x = 252/990 = 14/55

Answered by Matt H. • Maths tutor

7138 Views

Find the indefinite integral of Ln(x)

This question requires integration by parts, using the formula:

Integral(u dv) = u v - integral(v du)

This is applied to find the integral of Ln(x) by writing Ln(x) as 1 * Ln(x), u is then...

Answered by Tutor66529 D. • Maths tutor

21820 Views

I struggle with time management whilst doing an exam paper. How will I be able to answer every question in the time given for the exam?

The best way to improve time management is by practising past papers. These can be found on your exam board website e.g. AQA, Edexcel etc. By completing a past exam paper under timed conditions you are pu...

Answered by Ruby P. • Maths tutor

4771 Views

How would you differentiate the term 3x^3-2x^2+x-10

With differentiation we should always begin with the "times by the power and take one from the power" rule. For example, to differentiate ax^b --> (a x b)x^(b-1)

So...

Answered by Cathy E. • Maths tutor

3983 Views