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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/...

Finally, the third way of Aquinas’ five ways is the proof of God’s existence from contingency, which argues that God is a necessary being. Within this argument, Aquinas refers to contingent and necessary ...