Top answers

All subjects
All levels

Show that x^2 - x +2 is positive for all values of x

(x-1/2)= (x-1/2)(x-1/2)=x2-x+1/4, add 7/4 to get x2-x+2 therefore x2-x+2 = (x-1/2)2 + 7/4

squared numbers always positive so (x-1/2)2

PM
Answered by Pearse M. Maths tutor
11605 Views

Vectors a and b are defined by a = 2i + 3j and b = 4i - 2j, find 3a-b in terms of i and j

3a = 6i + 9j

-b = -4i + 2j

3a-b = (6i-4i) + (9j+2j) = 2i + 11j 

PM
Answered by Pearse M. Maths tutor
7532 Views

Find ∫(4x - 2/(x^3)) dx

Using the integer rule 1/ (xn) = x-n question becomes ∫(4x - 2(x-3)) dx

Then using the formula ∫xn dx = (xn+1)/n+1 and assuming there may be a...

PM
Answered by Pearse M. Maths tutor
4504 Views

How should I structure my essay?

As much as you may not want to hear this, there is no absolute, correct way to structure an essay. The essay structure that you use really depends on the question that you are being asked. However, there ...

SM
Answered by Stephanie M. History tutor
2808 Views

How to write an algebraic fraction in a given form e.g. (3+13x-6x^2)/(2x-3) as Ax + B + C/(2x-3) where A, B and C are natural numbers

I would break this down into simple steps:

Step 1 - Equate the 2 expressions: (3 + 13x - 6x2) / (2x - 3) = Ax + B + C / (2x - 3)

Step 2 - Multiply both sides by the demoninator: 3...

AT
Answered by Alex T. Maths tutor
3953 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