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Explore the Theme of 'Nothing-ness' in Shakespeare's King Lear

"Nothing will come from nothing: speak again". Lear's words from Act 1 echo throughout Shakespeare's tragedy as the loss of Kingdom and loyalty ultimately strip the King of his mind. From nihili...

Answered by Sarah B. • English tutor

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How far had the Soviet Union become a Marxist state by 1941?

There was very little resembling a Marxist State in the Soviet Union in 1941. One might argue that the abolition of classes, the collectivisation of the means of production and the state control of the ec...

Answered by Mauro L. • History tutor

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A 4 metre long bar rotates freely around a central pivot. 3 forces act upon it: 7N down, 2m to the left of the pivot; 8N up, 1m to the left of the pivot; 4N up, 1m to the right of the pivot. Apply one additional force to place the bar in equilibrium.

Begin by calculating the current force and moment of the bar.Force: 8+4-7=5 (or vice versa)Moment: 72= 14 Nm anticlockwise 81= 8 Nm clockwise 4*1= 4 Nm anticlockwiseSum calculated moments: 14+4-8...

Answered by Michael A. • Physics tutor

2054 Views

Given that dx/dt = (1+2x)*4e^(-2t) and x = 1/2 when t = 0, show that ln[2/(1+2x)] = 8[1 - e^(-2t)]

1/(1+2x) dx = 4e^(-2t) dt Integrate both sides: ln[2/(1+2x)] = -8e^(-2t) + c input x = 1/2, t = 0: ln(2/2) = -8*(1) + c ln 1 = 0, so c = 8ln[2/1+2x] = 8[1-e^(-2t)]

Answered by Henry F. • Maths tutor

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Solve: 2 sin(2x) = (1-sin(x))cos(x) for 0<x<2*Pi and give any values of x, if any, where the equation is not valid

Double angle formula:Sin(2x) = 2sin(x)*cos(x)==> 2sin(x)*cos(x) = (1-sin(x))*cos(x) (2sin(x)-1+sin(x))*cos(x) = 0(3sin(x) - 1)*cos(x) = 0 i) cos(x) = 0, ii) 3sin(x) = 1 ==> sin(x) = 1/3 ...

Answered by Henry F. • Maths tutor

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