Search over 10,000 free study notes

A situation, allocation or outcome is Pareto efficient if no one party can be made better off without another being made worse off. The outcome of a perfectly competitive market is Pareto efficient whereas t...

There are two ways we can find the derivative of x^x. It's important to notice that this function is neither a power function of the form x^k nor an exponential function of the form b^x, so we can't use the ...

Always follow the same three steps : equating – substracting – substituting but you can have different cases : Case 1 : we only need to multiply one equation Example: 2x+5y=9 6x-4y=8 Note : Always check firs...

In Spanish there are four main ways in which the subjunctive is used. 1. Formation of the negative imperative and the formal positive imperative The exception here is no creer que 2. In subordinate clauses i...

Adjective Agreements The following are simple points to remember in order to avoid losing marks in an exam for forgetting to make adjectives agree . It is important to be able to check and correct your own w...