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Average costs represent the total cost of a firm divided by the total number of units produced, and Marginal cost meanwhile represents the extra costs incurred by a firm of producing an additional unit of...

People can participate in politics through petitions and initiatives. A petition is a document signed by the people and if enough people sign it then it has to be debated in parliament. In the UK there is...

There are two tests to determine if a piece is in Sonata Form. Firstly, we must look at the harmonies of the piece. The first sections (referred to as the Exposition) will begin in the to...

The first thing to do for part a) is work out the vertical component of the velocity. By drawing a triangle where 30m/s is the hypotenuse with angles of 30 degrees, 90 degrees, and 60 degrees, and by appl...

By the power rule, the derivative of x^(n) is nx(n^1) and by the chain rule, the derivative of g(h(x)) is g'(h(x))h'(x).
Let g(x)=x^(1/2) and h(x)=3x+2 so that f(x)=g(h(x)).

Then by the power...