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How is the role of the British Prime Minister changing?

This is an example of an essay question that could be asked (with slight variation) for a paper on British Politics. An approach to the question will need to be twofold - firstly the content needs to be addr...
MF
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Describe the structure and bonding of sodium chloride

Sodium chloride is a giant ionic lattice consisting of alternating, adjacent positively charged sodium ions and negatively charged chloride ions in a regular arrangement of rows and columns. The ions are hel...
OH
Answered by Olivia H. • Chemistry tutor
41131 Views

Differentiate 2e^(3x^2+6x)

Subsitute in u = 3x^2 + 6x and use chain rule to get dy/dx = dx/du x dy/dx to get dy/dx = 2(6x+6)e^(3x^2 +6)
NC
Answered by Nasser C. • Maths tutor
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Suppose that 3=2/x(1)=x(1)+(2/x(2))=x(2)+(2/x(3))=x(3)+(2/x(4))+...Guess an expression, in terms of n, for x(n). Then, by induction or otherwise, prove the correctness of your guess.

We have 3=2/x 1 =x 1 +2/x 2 =x 2 +2/x 3 =x 3 +2/x 4 =.... How can we guess at a general expression? One way is to try and see one by looking at the first few terms and looking for a pattern. We can calculate...
GC
Answered by George C. • STEP tutor
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Given that the binomial expansion of (1+kx)^n begins 1+8x+16x^2+... a) find k and n b) for what x is this expansion valid?

a) We compare the expansion given to the standard binomial expansion (remembering the powers of k).(1+kx) n =1+n(kx)+(n(n-1)/2)(kx) 2 +...As this is true for all x (for which the expansion holds), we can com...
GC
Answered by George C. • Maths tutor
6045 Views