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First off, an explicit definition needs to be understood. An explicit definition is the standard form in which many equations are found: y = f(x) (1) for example: y=x 2 +2 Here, all values of y can be explic...

Pythagoras was a Greek philosopher who discovered that in a right angled triangle (triangle with one angle 90 degrees) the hypotenuse squared , c 2 , was equal to the sum of the other sides squared, a and b....

Here is a genuine probability question I once tackled: “In your sock drawer there are 6 blue socks, 2 red socks and 2 white socks , distributed so that the probability of picking each is equal. Without looki...

Often, it can seem daunting when you are asked to differentiate a function that looks particularly messy. However, it's really quite simple if you break it down in easy to manage steps. I find students seem ...

How to integrate ln(x)? In order to integrate log x of base e, we are going to apply integration by parts. Recall that the formula for integration by parts is: / / | f(x) g'(x) = f(x) g(x) - | f'(x) g(x) / /...