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To get our head around a problem like this is always very useful to think of a few examples. First supposed that this party is a bit borining and there are only 2 people, then by assumption they know each...

To help explain we will use the following example: Show that cos(2x) = 2cos²x - 1. Hence solve the equation cos(2x) + cosx = 0 for 0^o < x < 360^o. Answer: We know fro...

The normal force can be calculated using cos(30)x weight = 12.99N From the equation F=μN, μ can be calculated as F/N and as it is at rest F is equal to component of weight parallel to the plane Therefore,...

3(sin x) ^2 cos x

y = 4x³e^-4x   u = 4x³  v = e^-4x du/dx = 12x² dv/dx = -4e^-4x using the product rule; vdu +udv  vdu + udv = 12x²e^-4x -...