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What is the first derivative of y=5z(1+2z2)? Is this a minimum, maximum or turning point?

You should not be put off by the algebraic letters used, substituting x's for z's is absolutely fine. For the first part of the question, since the equation involves the product of two terms, there are two w...
TR
Answered by Tom R. • Maths tutor
4467 Views

'Referendums should be legally binding in the United Kingdom.' Discuss.

Referendums are a form of direct democracy that are currently advisory in the UK - the government can therefore choose to ignore the majority outcome. In terms of enhancing democracy, there are several lines...
TR
3476 Views

The LHC accelerates protons to a speed of 0.999999991c around a 27km ring. Due to relativistic effects, their mass increases. Given that the magnetic fields used are 8T, calculate this mass. What is the total energy of an LHC beam containing 3e14 protons?

Balancing the centripetal force mv^2/r with the force experienced due to motion in a magnetic field qvB: m = qBr/v = qBC/2piv (C circumference). Putting in numbers: m = 1.83e-23 kg (~11,000 mass of proton at...
TD
4289 Views

integrate function (x^4+3x)/(x^2) with respect to x

split the integral into (x^4)/(x^2) and (3x)/(x^2) which becomes x^2 and 3*(1/x). These can now be integrated separately and added together after the integration. first integral: raise the power form 2 to 3,...
CS
Answered by Calum S. • Maths tutor
4200 Views

There are a number of correspondences in the form of letters between key characters in Austen's novel Pride and Prejudice. Discuss the importance of these letters in relation to the development of plot and character.

The overarching plot of ‘Pride and Prejudice’ is defined by the constantly fluctuating relationships between characters. Such rapid changes often require the author to substitute character depth in favour of...
AM
3472 Views