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First, we must evaluate what is given in the question. As it can be seen, the expression indicates that the problem consists of a first-order differential equation. We are also given the values of x and t...

First, we need to draw a diagram, to understand the question more clearly. 
y = x^2 is a common curve, but to sketch y = 4x - x^2, we should factorise it, to find where it inersects...

There should be at least as many simultaneous equations as there are unknown variables - or else you cannot get a numerical answer! Start by trying to eliminate one of the variables. You can multiply the ...

Here it's best to start this question off by drawing a diagram.

Draw a square with each side having a length of 10cm and a circle which touches each side of the square only once (as eacn side of th...