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Firstly when proving something by induction, we always show that the base case works, i.e. we plug in n=1. In this case we get 42 + 51 =21, which is divisible by 2...
This question gives hints as to how you should solve it. Because it tells you the angle between the line and the plane, this should indicate that doing something to do with finding the angle between the l...
The first step in tackling any second order differential equation is to find the Auxiliary Function. Looking at the equation's left hand side, we can find the derivative terms - we will s...
Consider, (cosX+isinX)6 using binomial expansion we find that this = "cos6X + 6icos5XsinX - 15cos4Xsin2X - 20icos3Xsin3X +...
Proofs come in many shapes and sizes but this one is done via induction. When doing proof by induction, examiners love a list of a clear definite list of steps, the first being the base case, in t...
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