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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 detec...

First solve complementary function, i.e. d²x/dt² + 5dx/dt + 6x = 0. To do so, let x = e^mt, where m = arbitrary constant. Differentiating gives dx/dt = m e^mt and...

y=(x²-1)(x³+3) ...

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 e...

given u = cos(x), therefore du/dx=-sin(x), as tan(x)=sin(x)/cos(x), can rewrite tan(x)=(-du/dx)/u, therefore integral can become [(-1/u)du], after inegrating you are left with -ln(u)+c, therefore ln(1/u)+...