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Mathematical induction is a way of proving statements in maths. The principle is quite similar to dominoes (not pizza, the game) - if you push the first one, the second one will be pushed over, pushing th...

C1, C2, C3, C4

D1

FP1, FP2, FP3

M1, M2

S1, S2

Whenever you have a define by exponentials question start with:

sinh(t)=0.5(e^t-e^-t)      and    cosh(t)=0.5(e^t+e^-t)

We know tanh(...

If a set of equations has more unknowns than equations, you cannot get a value for each unknown. However, you can find the relationships between the variables.Start by rearranging one variable in terms of...

Substituting the given values for b and c into the equation for abc,

a(-2 + 3i)(1 + 2i) = -37 + 36i

Multiplying out the terms in brackets...