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Simplify (3x^2-x-2)/(x^2-1)

This is an algebraic fraction. There is more than one way of solving this expression, but the simplest is to factorise both the top and the bottom quadratic expressions.Firstly we shall simplify the top e...

Answered by Venetia L. • Maths tutor

17063 Views

How do I derive the indefinite integral of sine?

The integral of sine is pretty easy to remember as it is -cos + C. However you need to be able to prove this, without using the integral of cosine. This method uses sines exponential form.

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Answered by Lucile C. • Maths tutor

2819 Views

Work out the ratio between the surface area of sphere of radius 6cm and the total surface area of a hemisphere of radius 9cm.

Here you need to use two formulae; one for the surface area of a sphere (4πr²) and one for the area of a circle (πr²).

First the surface area of the 6cm radius spher...

Answered by Liam P. • Maths tutor

14195 Views

Solve the quadratic equation: 5x2+8x+2

Here you need to use the quadratic formula, it cannot be solved by expanding out the brackets. In the formulae for which can be found on the formulae sheet. In this case a=5, b=8 and c=2.

Answered by Liam P. • Maths tutor

4749 Views

Solve 5x-6=3x+7

The key point to remember when dealing with an algebra equation is that whatever operation you carry out on one side of the equation, you MUST do to the other side as well.

To solve this ...

Answered by Kyle B. • Maths tutor

14675 Views