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By first expanding the brackets, differentiate the equation: y=(4x^4 + 3x)(2x^2 - 9)

In this case the question has given you a clue as to the order that you solve the question. So, first we need to expand the brackets, multiplying each term by one another to get; y=8x^6 - 36x^4 + 6x^3 - 27x....
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Answered by Patrick A. • Maths tutor
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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 at ...
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Answered by Amy G. • Maths tutor
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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 dista...
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Answered by Joshua R. • Economics tutor
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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 lower ...
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Answered by Verity G. • Biology tutor
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Explain two consequences of the Dawes Act 1887 (8 marks) - Edexcel Paper 2 American West Q1

One consequence of the Dawes Act was that the Plains Indians lost half of the land they had had in 1887 to the white settlers. This was the result of the part of the Act that stated that any land not reserve...
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Answered by Isobel C. • History tutor
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