Search over 10,000 free study notes

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))...

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 s...

This is a homogeneous second order equation with constant coefficients, so all we need to do is find the complementary function: We write: m²+2m-3=0 which has solutions m=1 or m=-3 We have two ...

There are 4 key steps to this question.

(i) calculate the matrix of minors: you want to find the determinant of each entry and this forms a new matrix. 

(ii) convert this into a matrix of co...

Let's work our way from left to right. Starting with the x³ term we will take the integral with respect to x. First we add one to the power we get x⁴, next we take the coefficient an...