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The general method is: 1)write down what needs to be shown (the claim) 2)check it holds for the lowest value of n required (normally n=1 but check question) 3)write down sentence: 'Suppose when n=m the claim...

The first step in tackling this problem is to find the intersection points of the graph with the x and y axes. The y-intercept can be found by substituting x=0 into the function, so y=(0-1)/(0+1)=-1 and the ...

Let z be a cube root of 1 such that: z^3 = 1 z^3 - 1 = 0 Factorise: (z-1)(z^2 + z + 1) = 0 Then, z=1, the real root, or: z^2 + z + 1 = 0 with z not equal to 1 Use quadratic equation: z = (-1 +- sqrt(1-4))/2 ...

This is a maths problem, which I believe is best taught by live demonstration and explanation while constantly promtpting the student to suggest further steps if they are able. If they are not, then you shou...

This is a homogeneous second order equation with constant coefficients, so all we need to do is find the complementary function: We write: m 2 +2m-3=0 which has solutions m=1 or m=-3 We have two real solutio...