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How to approach 35 mark essays: E.g. ‘To what extent is Hamlet’s indecision his great downfall?’

Whenever embarking on large essays, one must first assert a solid structure. The common notion of: Point, Quote, Explain, is a helpful system to follow. First, sketch a structure, including the number of par...
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If 3 apples cost £1.50 and 4 oranges cost £3.20, how much do 5 apples and 3 oranges cost?

The answer is £4.90 and we know that this is the case because...If 3 apples cost £1.50, then one apple costs 50p and then 5 apples are 5 x 50p which is £2.50If 4 oranges cost £3.20 then one orange is £0.80, ...
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Answered by Chris H. • Maths tutor
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Find the equation of the straight line tangent to the curve y=2x^3+3x^2-4x+7, at the point x=-2.

We are looking for a straight line, so it needs the form y=mx+c. To find our gradient, m, we need the gradient of the curve at the point x=-2, so differentiate the equation: dy/dx=6x 2 +6x-4, and solve at x=...
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Answered by James B. • Maths tutor
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When do you use integration by parts?

The formula for integration by parts is Integral(u dv/dx)dx = uv - Integral(v du/dx)dx You use integration by parts when you have an integral where you have to terms multiplied together ie Integral(u*dv/dx)d...
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Answered by Alex B. • Maths tutor
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Describe the ventilation mechanism in fish

The buccal cavity of the fish opens and the buccal floor moves downwards. This creates a larger volume in the buccal cavity causing pressure to fall relative to the pressure in the external environment. Wate...
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Answered by Victoria A. • Biology tutor
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