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Factorise fully 6xyz + 24x^2yz + 18xy^3z^2

So we need to find common factors for each term: 6xyz, 24x²yz and 18xy³z². Let's start with the numbers. Do the numbers 6, 24 and 18 have a common factor? Yes, 6 . If we t...

Answered by Tom L. • Maths tutor

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Solve the equation 3sinh(2x) = 13 - 3e^(2x), answering in the form 0.5ln(k). where k is an integer

We know that: sinh(2x) = 2sinh(x)cosh(x) , therefore the equation becomes 6sinh(x)cosh(x) = 13 - 3e^2xWe also know that sinh(x) = 0.5*[e^x-e^-x] and that cosh(x) = 0.5*[e

Answered by Matt H. • Further Mathematics tutor

4494 Views

What are the major differences between the four gospels?

The four gospels of Mark, Matthew, Luke and John are our primary source for the life of Jesus of Nazareth and are often merged into a singular narrative in the public consciousness. A more careful study r...

Answered by Philip H. • Religious Studies tutor

13008 Views

Solve the Simultaneous equation: 6x+3y=13, 14x-9y=9?

First we need to eliminate one of the Variables, to have an equation dependant on one variable. The coefficient for y in equation two is a third of the coefficient of the y in the second equation. Therefo...

Answered by Matthew M. • Maths tutor

2829 Views

What is the difference between a deontological and a teleological theory of ethics?

'Deontology' is derived from the Greek word 'deon' meaning 'duty'. According to deontological theories, the morally right course of action is the one that fulfils our duties. The most famous deontological...

Answered by Phoebe C. • Philosophy and Ethics tutor

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