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Solve the simultaneous equations: y + 4x + 1 = 0, and y^2 + 5x^2 + 2x = 0.

"Solve the simultaneous equations" is another way of saying find the unknown variables. In this case, they are x and y. When looking at the second equation, y^2+5x^2+2x=0, we can see that we have t...
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When the question asks what 'harmonic device' is being used, what does it mean?

You could think of a 'harmonic device' as a 'harmonic technique' e.g. circle of fifths or chromaticism. When a question is asking what harmonic device is being used it is likely to be very obvious e.g a chai...
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Given that the graph f(x) passes through the point (2,3) and that f'(x)=6x^2-14x+3, find f(x).

For this question we already have the derivative of f(x), and so if we integrate it we should get to a general equation with a constant on the end, however we want to get to an exact solution which we should...
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Find the surface area of a hand held fan (modeled with negligible depth) with radius 8 cm and a 60 degree angle at the centre

60 degrees = π/3 radians A = 1/2r 2 θr = 8θ = π/3 1/2 x 8 2 x π/3 = 33.5103216... cm 2 33.5103216... x 2 = 67.0 cm 2 to 3 s.f.
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"A potential site for social disruption... a medium for the message of disent." Discuss with reference to Shakespeare's 'Twelfth Night'

IntroWriting in the Elizabethan period, Shakespeare explores several 'site[s] for social disruption' in his play 'Twelfth Night', written in 1602. These include the rigid social hierarchy, the constraining g...
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