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How can a volcanic eruption be predicted?

Constant monitoring of a volcano is crucial in being able to predict an upcoming eruption. Various technologies are used by volcanic monitoring stations, such as the Hawaiian Volcano Observatory, to detect c...
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Answered by Lydia P. • Geography tutor
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Find the general solution of the differential equation: d^2x/dt^2 + 5dx/dt + 6x = 2cos(t) - sin(t)

First solve complementary function, i.e. d 2 x/dt 2 + 5dx/dt + 6x = 0. To do so, let x = e mt , where m = arbitrary constant. Differentiating gives dx/dt = m e mt and d 2 x/dt 2 = m 2 e mt . Substituting int...
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Answered by Mick G. • Maths tutor
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Using the product rule, differentiate: y = (x^2 - 1)(x^3 + 3).

y=(x 2 -1)(x 3 +3) let u=x 2 -1 u'=2x let v=x 3 +3 v'=3x 2 uv'+u'v=(x 2 -1)(3x 2 )+(2x)(x 3 +3) =(3x 4 -3x 2 )+(2x 4 +6X) = 5x 4 -3x 2 +6x
Answered by • Maths tutor
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Describe the causes of the First World War

There were 4 main causes leading to the First World War. Firstly, the immediate cause of the war was the assassination of Archduke Franz Ferdinand in 1914 by the Black Hand organisation of Serbian nationalis...
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Answered by Aiden S. • History tutor
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Translate the following: If it hadn't rained, she would have gone to the park.

S'il n'avait pas plu, elle serait allée au parc. Just as in the English example, this 'Si' clause requires the pluperfect tense and the conditional perfect. 'Si' clauses are constructed around two essential ...
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Answered by Milly L. • French tutor
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