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A frequent question the comes up in the early parts of core maths is; how would you sketch the graph of a function f(x)?

Sketching just means that you would have to find some key points o...

Volumes of revolution are contructed by a fuction of x, y=f(x), rotated 360 degrees, or 2pi radians around the x asxis. For example, a function of y=2 would create a cylinder of radius 2 in its ...

First of all let's think about what this really means:

Homogeneous means that all term in the differential equation contain the dependent variable(in most cases y). The dependent variable...

If we have a function f(x), taking its derivative would obtain a new function f'(x). However, now this second function f'(x) defines the tangent along any point on the original graph of f(x). This is u...

Despite probably being brought up using the A=1/2bh formula, there is a more generic formula that works for any triangle shape without any calculations needed to find the height perpendicular to a tria...