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Noticing that tan(5x) = tan(3x+2x) we use the tan compound angle formula to find tan(5x) = (tan(2x)+tan(3x))/(1-tan(2x)tan(3x)) and thus tan(5x)tan(3x)tan(2x) = tan(5x)-tan(3x)-tan(2x). From then we can i...

A Tierce de Picarie ('Picardy Third') is a surprise major chord at the end of a piece. Whilst the piece is predominantly in a minor mode, the final chord (which will always be the tonic in music of this ...

First of all take the word in the infinitive (e.g. comer/ hablar/ vivir) Then put conjugate it into the first person singular (e.g. como, hablo, vivo). Then take off the "o" ending. If it is an ...

We approach this problem using the conservation of linear momentum, which tells us that m1 x v1 = m2 x v2. We substitute the values of m1, v1 and v2, and solve for m2: 48x1.2=m2x16; m2=57.6/16=3.6 kg.

In 1936 Hans Selye developed his theory of the General Adaptation Syndrome (GAS), which is a stress model that explains the body's physiological response to stress. These stress responses are divided into...