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The expectation of x, E(X), is the sum of the product of the value of the i^th outcome (x_i) and the probability of the i^th outcome (p_i). So:

E(X...

To tackle this question, you will need to know about the rules for logarithms. Here we are going to use the product rule, where the addition of these two natural logarithms equals the product of the tw...

Using the trigonometric(trig) ratios of cosine, sine and tangent we can work out side lengths and angles.

Within a right angle triangle of we are given a side lenght and a angle other tha...

To find the derivative, you look at each term and multiply the constant in front of the x by the power of x. Also you must lower the power of x by one after this step. 

So 5x³ ...

Graph sketching can look like an intimidating process at times, but is easily broken down into a collection of fairly easy stages. 

In summary:

Factoris...