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What is the differential of y =sin(2x)?

For this question we have to use the chain rule. The chain rule is dy/dx (the differential you are looking for) = du/dx (the differential of u with respect to x) * dy/du(the differential of y with respect to...
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Answered by Cem U. • Maths tutor
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How should I structure my essay?

You should start thinking about essay structure when planning your answer. Break the essay down into intro, 3 or 4 paragraphs and a conclusion. The purpose of the into is to 'unpick' the question - discuss k...
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Answered by Harjas D. • History tutor
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Calculate Gibbs free energy when S = 131 J mol-1 and H = 155 kJ mol-1 at 25 C, stating whether or not the reaction is feasable.

First, make sure everything is in the correct units: H = 155 kJ mol-1 = 155000 J mol-1 S = 131 J mol-1 T = 25 C = 298K Then use the Gibbs equation to calculate the free energy: G = H - TS G = 155000-298*131 ...
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Answered by Isaac H. • Chemistry tutor
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How do I rearrange this equation for x? y=(x+2)/(3x-1) +2

First of all we must consider the fraction. To eliminate this we multiply both sides through by 3x-1. We then end up with y(3x-1)=(x+2)+2(3x-1). The next step is to expand out the brackets and collate terms,...
CM
Answered by Charlie M. • Maths tutor
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Show (4+5/7) - (2+1/3) as a single mixed fraction.

Mixed number -> top heavy fraction: 4 + 5/7 = ((4 7)+5)/7 = (28+5)/7 = 33/7 2+ 1/3 = ((2 3)+1)/3 = (6+1)/3 = 7/3 Common denominator by multiplying by each others: 33/7 = (33 3)/(7 3) = 99/21 7/3 = (7 7)/(...
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Answered by Ethan R. • Maths tutor
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