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Step 1:-Find any common factors. Looking at this example, it becomes clear that a HCF won't be a numerical value (e.g. 4 or 5) as there are no factors which are common for both 4 and 5. Looking further, ...

To find the turning points, first find the first derivative of the equation by differentiating. Differentiating can be done in this equation by multiplying the number in front of the x by the power then l...

-> m1u1 + m2u2 = m1v1 + m2v22.4 - 0.6 = 0.4v1 + 0.90.9 = 0.4 v1v1 = 2.25m/s (direction unchanged)-> I = mv - mu= (0.3 x 3) - (0.3 x -2)= 1.5 Ns

They key is to integrate by parts, set u = x, u' = 1, v' = sinx, v = -cosx
So, integral(xsinx) =uv - integral(u'v)+c = -xcosx - integral(-cosx) +c = -xcosx +sinx + c
which is the answer

The first step will be to rearrange the eqn so that the loose number appears on the RHS and the x and y terms are grouped. After this step the eqn will appear as x² + 2x + y² - 6y = ...