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The subjunctive is often described a a mood, rather than a tense and is something English speakers sometimes struggle with as we no longer have an equivelant in English. The subjunctive should be used in ...

The preterite and imperfect tenses are both past tenses, which are used in different situations. 

The preterite tends to describe things that started and finished in the past. The preterite tense i...

a) u is perpendicular to w, so u • w =0. This means that 23 + 3(-1) + (-1)*p = 0, so 6-3-p=0, hence p=3. b) The magnitude of v ...

Reductionism is when complex behaviour is reduced to just one or two factors. For example, Behaviourism reduces complex learning down to just stimulus-response (e.g. classical co...

a) f(x)=ln(x), so f'(x)=1/x. By MVT, f'(c) = (f(b)-f(a))/(b-a) = (ln b - ln a)/(b-a) = ln(b/a)/(b-a), where c lies between a and b.  Now, since 1/x is a decreasing function, and a < c < b, we get 1/...