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First of all select one vertex on the polygon and draw straight lines from the selected vertex to every other vertex on the polygon. In doing so this should divide the shape into 11 triangles. Using the k...

First we can to start by making a sketch of the triangle since it may be easier to visualise the problem. Since the median of a triangle is a line that joins a vertex to the midpoint of the opposite side,...

Stationary points are points on the graph where the gradient is equal to 0.The gradient for any given point can be calculated by differentiating the original equation.f(x)=3x^2+4xDifferentiating gives:=&g...

i) For this question we need to use the product rule as there are two functions that are being multiplied together Product Rule: (uv)'=u'v + v'uApply this formula to the problem: xcos2x =...

Write i in terms of an exponential, so i = e^(i pi/2).Then the three roots of i are:z_1 = [e^(i pi/2)]^(1/3) = e^(i pi/6) = sqrt(3)/2 + i/2z_2 = e^[i (pi/6 + 2pi/3)] = e^(i 5pi/6) = -sqrt(3)/2 + i/2z_3 = ...