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This is a fairly typical example of a question from the Further Maths syllabus.

We wish to demonstrate that for all integers n greater than or equal to 4, n! > n² .

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The essence of the question focusses on the short-term impact of the 1905 revolution with particular focus on the significance of such an event. Identifying the necessary and relevant factual knowledge is...

Chlorine is highly electronegative and hence electron withdrawing (briefly ask them what electronegativity is to make sure they're completely comfortable with the concept), so the carbon its directly atta...

We begin by quoting the integration by parts formula, as the question speciaficaly asks us to use it.

integrate(u(x) v'(x) dx)|^(b)(a) = [u(x) v(x)]^(b)(a) - integrate(u'(x) v(x) dx)|^(b)_...

Ethical naturalists are one group of thinkers who argue that ethical language does indeed have meaning, as moral truths are objective and can be absolutely known - this is cognitivist. F. H. Bradley for e...