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A pure public good is a good that is consumed collectively; it is both non-excludable and non-rivalrous. These two main characteristics mean that people can't be stopped from consuming the good, and that ...

Phenol > Toluene > Benzene > Chlorobenzene.

The reactivity of the ring is dependant on how electron rich it is, as this determines the extent to which the (positively charged) electrophile...

Consider the case n=1. Then 1(1+1)(2*1+1)/6 = 1 = 1^2 and so the claim is true for n=1. Suppose the claim is true for some positive integer n, so that 1+4+9+...+n^2 = n(n+1)(2n+1)/6. Then by the inductive...

The general method is: 1)write down what needs to be shown (the claim) 2)check it holds for the lowest value of n required (normally n=1 but check question) 3)write down sentence: 'Suppose when n=m the cl...

We integrate by parts: u=x   u'=1;  v'=sin(x)  v=-cos(x) integral(xsin(x)dx) = -xcos(x) + integral(cos(x)dx) = -x*cos(x) + sin(x) + C where C is a constant.