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Work out the equation of the normal to the curve y = x^3 + 2x^2 - 5 at the point where x = -2. [5 marks]

Firstly, we need to differentiate the function of the curve y = x^3 + 2x^2 - 5. Using d/dx (x^n) = nx^(n - 1), we get dy/dx = 3x^2 + 4x. To find the gradient of this curve, we then need to evaluate dy/dx ...

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Answered by Amy G. Maths tutor
4300 Views

Explain how government policies can reduce the natural rate of unemployment

The natural rate of unemployment is defined as the rate of unemployment that exists when the labour market is in equilibrium. In figure 1 we can see a graphical explanation of this concept; the lateral di...

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Answered by Joshua R. Economics tutor
18069 Views

what is water potential?

Water potential is a measure of the tendency of water to move from one place or compartment to another. Water moves based on the water potential, from a region of higher water potential to a region of low...

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Answered by Verity G. Biology tutor
3711 Views

Explain the differences between the lock-and-key mechanism of enzyme action and the induced fit model

The lock-and-key mechanism of enzyme activation involves the active site of the enzyme fitting perfectly with the substrate molecule and the subsequent reaction being catalysed biologically. However, the ...

CO
Answered by Caitlin O. Biology tutor
8413 Views

Was Bismarck the ‘blacksmith of German unity’ as he was repeatedly represented by contemporaries?

It cannot be disputed that as Prussian minister-president in the 1860s Bismarck played a pivotal role on the events during the period, however the myth surrounding the idealistic image of him as a ‘blacks...

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Answered by Ibrahim M. History tutor
3005 Views

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