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How does proof by mathematical induction work?

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 the t...
SC
7541 Views

What modules have you done before?

C1, C2, C3, C4 D1 FP1, FP2, FP3 M1, M2 S1, S2
ZK
4623 Views

Define tanh(t) in terms of exponentials

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(t)=sinh(t)/cosh(t) tanh(t)=0.5(e t -e -t )/0.5(e t +e -t ) =(e t -e -t )/(e t ...
NS
4188 Views

How do I solve a simultaneous equation with more unknowns than equations?

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 th...
HM
5582 Views

Given that abc = -37 + 36i; b = -2 + 3i; c = 1 + 2i, what is a?

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, a (-2 - 4i + 3i - 6) = -37 + 36i Collecting like terms and multipl...
AS
4630 Views