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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 ...

Direct realism (or naïve realism) as a theory of perception claims that what we perceive are real objects and their properties, and that these objects exist without even minds to perceive them. This often...

Essay plan: Introduction - contextualise the topic, underline/give examples of main arguments eg. advantage is that they could meet friends online, disadvantage is that they could become isolated

P...

The Spanish A-Level includes 4 different sections.

1. Oral examination with set of questions asked (8-10 min long) 

2. Listening (45min), Reading (1hr) and Writing (1hr) so the tot...