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Emma Smith states that Doubling is not just a 'practical necessity, but a representational technique that could also make connections and contrasts between distinct characters or worlds'. She explains it ...

(sinx - tanx)(cosx - cotx)= (sinx - sinx/cosx)(cosx - cosx/sinx)= sinxcosx - (sinx + cosx) + 1= (sinx - 1)(cosx - 1)

Ted Hughes' Thrushes delineates the natural world as a a brutal realm of savagery and survival. An analysis of Hughes' careful use of phonological patterning, selection of lexical items and symbo...

base case: (1 x 2)/2 = 1 as required inductive step: assuming statement holds for n=k, the (k+1)th triangle number is given by k(k+1)/2 + (k+1) by definition=(k^2+3k+2)/2=(k+1)(k+2)/2=(k+1)((k+1)+1)/2resu...

The p orbitals on each carbon atom in benzene overlapThere is delocalisation of electrons in the ring (not 3 localised C==C double bonds)This makes benzene more thermodynamically stable than predictedIt t...