Search our library of Further Mathematics A Level questions

Top answers

Further Mathematics

A Level

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

Answered by Henry B. • Further Mathematics tutor

2161 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

Answered by Rihards S. • Further Mathematics tutor

3117 Views

What are Taylor series used for?
If you wanted to program a function into a computer, it knows how to calculate polynomials but not any function that you put into it. For example, it won't know what to calculate for sin(x), but it would ...
Answered by Tom S. • Further Mathematics tutor
2248 Views

It is given that z = 3i(7-i)(i+1). Show that z can be written in the form 24i - k. State the integer k.
z = 3i(7-i)(i+1)= 3i(7i-i+7-i²)= 3i(6i+8)= 18i²+24 (1 method mark)= 24i-18 (1 method mark)k=18 (1 answer mark)

Answered by Daniel T. • Further Mathematics tutor
1836 Views

Prove that ∑(1/(r^2 -1)) from r=2 to r=n is equal to (3n^2-n-2)/(4n(n+1)) for all natural numbers n>=2.
To prove the above statement we will be using proof by induction as this is the easiest way to prove that the statement holds for all natural numbers n>=2. Firstly, when proving by induction there are ...
Answered by Sharvaree P. • Further Mathematics tutor
3495 Views

←
31
32
33
34
35
→

Popular Requests

Maths tutor Chemistry tutor Physics tutor Biology tutor English tutor GCSE tutors A level tutors IB tutors Physics & Maths tutors Chemistry & Maths tutors GCSE Maths tutors

Terms & Conditions|Privacy Policy

CLICK CEOP
Internet Safety

Payment Security

Cyber
Essentials

Cookie Preferences

Search over 10,000 free study notes

Top answers

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

Calculate: ( 2+i√(5) )( √(5)-i).

What are Taylor series used for?

It is given that z = 3i(7-i)(i+1). Show that z can be written in the form 24i - k. State the integer k.

Prove that ∑(1/(r^2 -1)) from r=2 to r=n is equal to (3n^2-n-2)/(4n(n+1)) for all natural numbers n>=2.

We're here to help

Company Information

Popular Requests

© MyTutorWeb Ltd 2013–2025

CLICK CEOP