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The equation of a curve is y = x^2 - 5x. Work out dy/dx

This is an example of differentiation. This can be useful in many concepts, one being finding the gradient of a line or curve at a certain point. To differentiate these types of equations, the rule is to mul...
VL
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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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What is a reflex arc?

A reflex arc describes what controls a reflex reaction in humans. When something happens to an organism that needs a quick response a reflex action occurs. It allows the action to be 'unthinking'. A stimuli ...
KJ
Answered by Katie J. Biology 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
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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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