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This comes up in C4 in A level maths and differentiating it could come up in C3. You can write a^x as exp(ln(a^x))=exp(xln(a)) then differentiating this, you get ln(a)exp(xln(a))=ln(a)a^x. By differen...
Prove by contradiction: Assume negation to be true i.e. √2 is rational Then √2 can be written in the form a/b where a and b are integers with no common factor (the fraction cannot be simplified) => a/b...
Power stations use step-down transformers to decrease the voltage of the electrical output. The power lines have a constant resistance (say, R Ohms) which means there is a power loss across the lines give...
The kinetic theory models gas particles as points moving around with a given velocity. Heating the particles causes the transfer of heat energy, which is then used to increase the particles kinetic energy...
We can check for the presence of non-reducing sugars the Benedick's Test. If a reducing sugar is present in a solution, adding Benedick's reagent and heating will form an insoluble red precipitate. Non-re...
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