Top answers

Further Mathematics
A Level

Find the eigenvalues for the matrix (4/2/3,2/7/0,-2/1/8)

8,5,6Add '-x-' to each of the three terms on the leading diagonalCalculate the determinant of the 3x3 matrix and set equal to zero (property of eigenvalues)Factorise to find values of x, for which the det...

TD
2430 Views

Find the shortest distance between the lines r = (1, 5, 6) + y(-2, -1, 0) and r = (1, 7, -3) + z(2, 0, 4)

Vector joining the two lines = (1, 5, 6) - (1, 7, -3) = (0, -2, 9)Normal vector to the two lines = (-2, -1, 0) x (2, 0, 4) = (-4, 8, 2) = 2(-2, 4, 1)Hence, using the dot product, shortest distance = (0, -...

AH
2412 Views

How would you use the Integration Factor method to solve an ordinary first-order linear differential equation?

The word "ordinary" means that there are only two variables, "first-order" means that the highest derivative is the first derivative and "linear" means that the highest power...

KC
2701 Views

Sketch the curve y= ((3x+2)(x-3))/((x-2)(x+1)) and find values of y for which y>=3

Will have asymptotes at x=2 and x=-1, goes from negative to positive going from -1 to 2 and tends to 3 from below for positive x and tends to 3 from above for negative x. Crosses y axis at 3

HB
2632 Views

Calculate: ( 2+i√(5) )( √(5)-i).

[Brief intro to question] This is a typical example of A-Levels Further maths exam question. The aim of it is to obtain a single number (it can be both - either just real with no imaginary values i

RS
3776 Views

We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning