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#Of course this question could be expanded into a program as large or small as desired, dependant on how rigorous wants the program to become. The setup I created here checks for some basic syntactical er...

Some of these examiners quite like asking students to find the derivative of an inverse trig or hyperbolic function to try and catch someone off guard. The best way to approach these is to first multiply ...

1. Start by simplifying the denominator  

          - We can write sqrt(12) as sqrt (4*3). 

          - This can be written as sqrt(4) * sqrt(3) 

          - We know the squ...

Expanding Rsin(x + a): Rsin(x + a) = Rsin(x)cos(a) + Rcos(x)sin(a) Comparing coefficients of sin(x), cos(x) with first expression leads to: Rsin(a) = 2, Rcos(a) = 5 Dividing these equations gives: tan(a) ...

The first step is to read and re-read the question. Work out EXACTLY what the question is asking you for, and what the examiner might want. Remember, you get marks for content, accuracy and structure. The...