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There are to parts involving x in this expression, so we need to use the product rule. Let u=x and v=sin2x.So we find u'=1, and v'=2sin2x. Then the formula for the product rule gives us that d/dx(uv)= uv'...

{} = integral sign for purpose of this solutioncos²x = 1 - sin²x (1)cos 2x = cos²x - sin²x (2)cos²x = 1 - (cos²x - cos 2x)cos²x...

The photoelectric effect states that electrons are emitted when electromagnetic radiation is shone upon a material. It also provides evidence for the particle-nature of light, since each photon interacts ...

We are looking for what values of x make this statement true. To start we need to factorise the quadratic.We can do this in two ways, the quadratic formula, or just seeing what numbers work.We'll start wi...

Note the following rules for simultaneous equations: 'Same sign subtract' and 'alternate sign add'. The first thing we need to do is find either y or x. To do so here, you add the equations together becau...