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Further Mathematics

A Level

Find the four roots of the equation z^4 = + 8(sqrt(3) + i), in the form z = re^(itheta). Draw the roots on an argand diagram.

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...

Answered by Adam W. • Further Mathematics tutor

7528 Views

Find the general solution of the second order differential equation: y''+2y'-3 = 0

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 ...

Answered by Matthew D. • Further Mathematics tutor

4975 Views

Find the inverse of a 3x3 matrix

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...

Answered by Josie R. • Further Mathematics tutor

6330 Views

Find the integral of f(x)= x^3 + 2x^2 + 1

Let's work our way from left to right. Starting with the x³term 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...

Answered by Emily B. • Further Mathematics tutor

2428 Views