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The demand curve slopes downwards due to the idea of diminishing marginal utility. This is the idea that the consumer receives less additional utility for each extra unit of the good consumed.The substitu...

To solve this question we can use implicit differentiation. We can write:d/dx(x+2y+3y^2)=d/dx(2x^2+1).When differentiating something in terms of y with respect to x we can use the chain rule, this allows ...

Hello there!! Firstly my tips would be to write bullet points of the key things you want to put into your personal statement. 
Make sure you mention things like work experience, voluntary work, hobb...

Prokaryotes are single-celled organisms (e.g. bacteria) which lack any membrane bound organelles. Thus, they are anuclear (have no nucleus) and their DNA is circular and found in the nucleoid area of the ...

Since the equation has a cubic term, we can expect the curve to have certain properties: it should have three points where the graph touches the x-axis, two turning points, of which one should be a minimu...