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Firstly, review your notes and the textbooks on a major topic from the course. Once you feel that you may be familiar with the main themes and examples from the topic, test the knowledge and thought processe...

Graph sketching can look like an intimidating process at times, but is easily broken down into a collection of fairly easy stages. In summary: Factorise the equation - Find the roots/intersections of the equ...

The frequency is reduced by: - Adding extra mass (greater 'm') : This is because the extra mass increases the inertia of the system - Using weaker springs (smaller 'k') : The restoring force of the object at...

Two matrices are commutative is matrix A multiplied by matrix B equals matrix B multiplied by matrix A.

You have to write it in terms of cos(2x) using the double angle formula. The same applies for intergrating cos^2(x), you again have to write it in terms of cos(2x) using the same double angle formula.