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Firstly rearrange the differential equation to fit the form dx/dt +P(t)x = Q(t). The integrating factor is then found by using the formula:

u = EXP(INTG(P(t))). We know that P(t) = 2t and so by int...

de Moivre's: (cos(x)+isin(x))ⁿ=cos(nx)+isin(nx) set n=2 (cos(x)+isin(x))²=cos²(x)+2isin(x)cos(x)-sin²(x), which, according to de Moivre's cos²(x)+2is...

For parabolic motion: vertical and horizontal components can be treated independently. x represents horizontal motion, which obeys constant velocity equations, y denotes vertical motion, which obeys the c...

For example, A(6/5, 19/5), B(2, 9/5), C(5, 3). Show that the line segments AB and BC are perpendicular.

Before we begin the question, it is a good idea to remind ourselves of the d...

0.2, -3