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Use the Intermidiate Value Theorem to prove that there is a positive number c such that c^2 = 2.

This exercise is asking to prove the existance of the square root of 2. So let's consider the function f(x) = x^2. Since f(x) is a polynomial, then it is continuous on the interval (- infinity, + infinity). ...
DK
Answered by Dilyana K. • Maths tutor
9781 Views

How do I plot a line on a graph, given the equation y=2x+1 ?

A simple way to do this is to use substitution. You can pick values for x such as x=0,1,2 and find the values for y. When you have two or more coordinates you can plot the line. In this case you could find c...
HP
Answered by Hannah P. • Maths tutor
6595 Views

How do I start writing an essay?

The most important thing about the essay-writing process is planning. The amount of time that you spend planning an essay determines how well that essay will flow and ultimately, the mark that you will get. ...
DL
5158 Views

How should I structure my answers when analysing text?

I am a strong advocate of 'PETER' (point, evidence, technique, explain, reader response) paragraphs. They allow you to effectively tick all the boxes an AQA, Edexcel, OCR or any other examiner will be lookin...
JA
Answered by Jonathan A. • English tutor
4060 Views

What is the subjunctive?

It is important to remember that the subjunctive is a mood and not a tense. It is normally used to express a wish or desire or to express uncertainty. For GCSE it is normally best to learn set phrases which ...
IO
Answered by Imogen O. • Spanish tutor
3720 Views