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Critically discuss the doctrine of Parliamentary Sovereignty by reference to relevant case law

In countries with a written constitution, it is the codified constitution document which is the pinnacle of their legal systems and it is that which bestows legal validity on other laws. However, this is ...

Answered by Rabab Z. • Law tutor

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Given that p≥ -1 , prove by induction that, for all integers n≥1 , (1+p)^k ≥ 1+k*p.

First of all, we need to show that the statement is true for the base case n=1. For this case the expression becomes: 1+p≥1+p, which is clearly true as both sides are equal and hence solve the inequality....

Answered by Ellen B. • Further Mathematics tutor

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How would I differentiate a function such as f(x)=x^3(e^(2x))?

Here, f(x)=x³e^2xis a function consisting of two functions multiplied together, so we need to use the product rule. The product rule is as follows: where f(x)=u(x)v(x), f'(x)=u(x)v'(...

Answered by Lauren B. • Maths tutor

3596 Views

Please Simplify: (2x^2+3x/(2x+3)(x-2))-(6/x^2-x-2))

Factorise both parts of the question. Our left side would become x(2x+3)/(2x+3)(x-2) and our right side would become 6/(x+1)(x-2). On our LHS the (2x+3) would cancel leaving x/x-2. In order to merge the f...

Answered by Omar G. • Maths tutor

6953 Views

What are buffers and how do they work?

Buffers are solutions of acid and base which work to minimise changes in pH following the addition of small amounts of acid or base. Ideal buffers are made of a weak acid (i.e. one which does not fully di...

Answered by Samuel J. • Chemistry tutor

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