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Solve 5x + 4 = 14 + x

This question is about rearranging the equation so that we have all the unknown values on one side, and all the known values on the other side.To start, we want to put all the x values on one side, and all t...
VL
Answered by Venetia L. Maths tutor
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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 expr...
VL
Answered by Venetia L. Maths tutor
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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. As e iθ​ = cosθ + ...
LC
Answered by Lucile C. Maths tutor
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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 (4πr 2 ) and one for the area of a circle (πr 2 ). First the surface area of the 6cm radius sphere: Area=4π(6 2 )=144π Second the area ...
LP
Answered by Liam P. Maths tutor
14926 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. This gives: x=(-8±√...
LP
Answered by Liam P. Maths tutor
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