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The easiest way to complete questions of these types is to first sketch an Argand diagram. With 5√ 3 on the x (real) axis and -5 on the y (imaginary) axis, the modulus would be calculated simply by using ...

By using the quadratic quation, it can be deduced that x = 1.22 or x = -3.55

The key to solving this problem is realising that gravitational potential energy and elastic potential energy need to be equated. The gravitational potential energy of an object of mass m at height h abov...

Even when you're super prepared for an exam, a subject like history can throw you a curve ball, so what can you do when you look at a question and think there's just no way you could answer it?

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We have to use the chain rule here. If we set u to the inside of the bracket, u = x^2 + 3 and differentiating we get du/dx = 2x. Now the original expression becomes y = u^2. Differentiating this with resp...