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The key fact here is to remember the relationship between the gradients of lines which are parallel and perpendicular. Two lines that are parallel will always have the same gradient. So if we have a line ...

First, we model the child as a single point particle. Then, we add in arrows representing vectors for the relevant forces: friction, weight and the contact force.
We can also assume that the child h...

Initially this looks unlike all the other differentiation questions and seems unsolvable. However the expression 2^x can be rewritten in an equivalent form that will allow us to use the differentiation ru...

Integration by parts can be considered as the inverse method of differentiation using the product rule. With the product rule we have: d(fg)/dx = f(dg/dx) + g*(df/dx) where f and g are functions ...

The offence of assault occasioning actual bodily harm is unsatisfactory because it is an offence of constructive liability whose mens rea need not correspond to the actus reus. To be convicted of assault ...