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Our DE (Differential Equation) dx/dt = 8sin(2t)/(3sqrt(x)) is separable because dx/dt can be expressed as a product of two functions of the form dx/dt = f(t)g(x) = (8sin(2t)) * (1/(3sqrt(x))).To solve the...

Firstly, it's important to note that the question concerns straight lines, so it will be possible to express the answer in the form y=mx+c where m is the gradient and c is the y...

James starts with £200,000.
He then spends 10% of his winnings:
200,000*(1-0.1)=180,000
The 1 represents 100%, which the amount of money James starts with. He then spends 10%, which is repr...

Both the cosine and sine rule are used to find either a missing side length or angle of a triangle that doesn't have a right angle. The cosine rule is used when you know the length of two sides and the an...

sin2x = 2sinxcosxcos2x = cos²x - sin²x=2 cos²x - 1= 1 - 2sin²xtan2x = (2tanx)/(1-tan²x)