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From the rules of logarithms, we know that:

log(A) - log(B) = log(A/B)

and thus:

log(1-x) - log(x) = log[(1-x)/x]

...

Here, we must remember the definition of a bijection. To be bijective, a function must be both injective and surjective. For a function to be injective, we must have that f(a) = f(b) implies that a = b...

This question relies partially on remembering the trigonometric identities, csc(x) = 1/(sin(x)) and cot(x) = 1/(tan(x)) = cos(x)/sin(x). Plugging these values into the equation, we want to find Lim((1-...

Force Filed analysis is a decision making tool analysing the forces for and against a decision or change. It is divided into driving forces (advantages) and restraining forces (disadvantages). A weight...

This question is an example of the chain rule for differentiating. 

Firstly, identify the inner function. In this case, it is x² - 3x. This function must be differentiated firs...