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Explain the Rule of Law doctrine.

1) Definition of the Doctrine The Rule of Law (ROL) is one of the three central doctrines of the English constitution, alongside the Separation of Powers and Parliamentary Sovereignty. It was first explained...
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Answered by Arron J. • Law tutor
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Complete the following nuclear equation p+ -----> n + ... + ...

This is a proton decaying into a neutron and two other subatomic particles. Here you have to consider various conservation laws, including: baryon number, lepton number and charge. (Energy and momentum are a...
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Answered by Ryan S. • Physics tutor
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Consider the functions f and g where f (x) = 3x − 5 and g (x) = x − 2 . (a) Find the inverse function, f^−1 . (b) Given that g^−1(x) = x + 2 , find (g^−1 o f )(x) . (c) Given also that (f^−1 o g)(x) = (x + 3)/3 , solve (f^−1 o g)(x) = (g^−1 o f)(x)

(a) Start with f(x)= 3x − 5; y=3x - 5, and switch x and y before rearanging to get y in terms of x again: y=3x - 5 x=3y - 5 (x+5)/3=y Therefore f^−1(x)=(x+5)/3 (b) Start with f(x)= 3x − 5 and and sub result ...
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Answered by Isobel B. • Maths tutor
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Solve the differential equation: dy/dx = tan^3(x)sec^2(x)

dy/dx = tan 3 (x)sec 2 (x) Integrate both sides ==> ∫dy= ∫ tan 3 (x)sec 2 (x) dx Use the substitution u=tan(x) And by differentiation du/dx = sec 2 (x) , which leads to dx = du/sec 2 (x) ==> and subbin...
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Answered by Ryan S. • Maths tutor
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Describe the similarities and differences between simple diffusion, facilitated diffusion and active transport.

Simple diffusion, facilitated diffusion and active transport are three methods to transport various molecules across a membrane. Whilst similar in the overall effect, there are some major differences between...
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Answered by James G. • Biology tutor
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