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What is a derivative?

A derivative is a mathematical description of how one quantity will change with respect to another. For example the 1st derivative of some function will give you the gradient of the tangent at every point on...
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Answered by Jonathon V. • Maths tutor
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Represent in partial fraction form the expression x/x^2-3x+2

Partial fractions are just another technique to simplify expressions to make them easier to manipulate in more complex questions. This is a low mark questions, testing your skills at using partial fractions ...
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Answered by Malachi R. • Maths tutor
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The points A and B have position vectors 2i + 6j – k and 3i + 4j + k respectively. The line l passes through both A and B. Find a vector equation for the line l.

First you need to find the vector AB. This is equal to -OA+OB. OA and OB are equal to the position vectors of A and B respectively so -OA+OB= -2i - 6j + k + 3i + 4j + k = i - 2j + 2k = AB Then we can take an...
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Answered by Alex T. • Maths tutor
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Solve the equation x=4-|2x+1|

This type of equation involves a modulus, this the component enclosed in the straight lines, |2x+1|. A modulus takes the absolute value of its contents, this means that regardless of the input you always hav...
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Answered by Benjamin C. • Maths tutor
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Discuss feminism in Mary Shelley's Frankenstein.

It is possible to discuss the topic of Feminism within Frankenstein through Shelley’s female characters and how the female characters are constructed and portrayed. In the novel, women seem to somewhat take ...
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