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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 ...
MR
Answered by Malachi R. Maths tutor
7171 Views

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...
AT
Answered by Alex T. Maths tutor
17350 Views

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...
BC
Answered by Benjamin C. Maths tutor
18928 Views

Rearrange the equation y=3x+2 to make x the subject.

The most important thing to remember about rearranging equations is that what you do to one side, you have to do to the other side as well to balance it. In the question above, to get rid of the 2 on the rig...
MN
Answered by Matthew N. Maths tutor
80014 Views

Find the derivative of the following expression: y=x^3+2x^2+6x+5.

As the expression contains 4 separate terms that are added together, we can treat this as 4 separate differentiations. The general rule for differentiation for a general term bx^n is (b n)x (n-1) . For examp...
MN
Answered by Matthew N. Maths tutor
5442 Views