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Prove by induction that n! > n^2 for all n greater than or equal to 4.

This is a fairly typical example of a question from the Further Maths syllabus. We wish to demonstrate that for all integers n greater than or equal to 4, n! > n 2 . We briefly recap that n! is the produc...
JB
20319 Views

How does the kidney filter blood?

The kidney is able to filter blood as it is made up of about a million filtering units. These units are called nephrons which are assosiated with capillaries. The blood flows to the glomerulus, which is a fi...
AC
Answered by Alyssa C. • Biology tutor
5033 Views

What was the short term significance of the 1905 revolution on Russia?

The essence of the question focusses on the short-term impact of the 1905 revolution with particular focus on the significance of such an event. Identifying the necessary and relevant factual knowledge is an...
NH
Answered by Nicholas H. • History tutor
5144 Views

‘Loneliness is the most important theme in Steinbeck’s ‘of Mice and Men’. To what extent do you agree with this statement?’

Loneliness is a key theme in Steinbeck’s novella, and is explored primarily through the characters’ relations to others, when contrasted against George and Lennie’s friendship, and the discriminative languag...
BR
7094 Views

Can you give and explain the mechanism for the reaction between aqueous Sodium Hydroxide (NaOH) and Chloroethane at room temperature? What is a competing reaction which may occur and how would you promote this reaction?

Chlorine is highly electronegative and hence electron withdrawing (briefly ask them what electronegativity is to make sure they're completely comfortable with the concept), so the carbon its directly attache...
ND
Answered by Ned D. • Chemistry tutor
8437 Views