Top answers

How do I simply differentiate and what does a differential mean?

To differentiate a simple expression such as x^3 + 2x you simply multiply the power of the x by the multiple in front of the x value and then take away one from the power. For example the expression would be...
LW
Answered by Laura W. • Maths tutor
6284 Views

Expand and simplify (x + 5)(x – 1)

These two brackets multiply out to form what is called a quadratic. We expand these two brackets using the "FOIL" method - this stands for First, Outside, Inside and Last. Therefore, the first two ...
SM
Answered by Shrishti M. • Maths tutor
36407 Views

Simplify and solve for x. log(x+1)+log 5=2. Note, log is the natural log in this case

so lets deal with 2 first. We can express 2 in terms of log5 by the laws of logs. nlogx=logx^n. re-writing 2 as 2log5=log25 we now have log(x+1)+log5=log25. lets apply a different log law: log(a)-log(b)=log(...
LM
Answered by Liam M. • Maths tutor
7497 Views

White paint costs £2.80 per litre. Blue paint costs £3.50 per litre. White paint and blue paint are mixed in the ratio 3 : 2 Work out the cost of 18 litres of the mixture.

First it's importance to clarify what the question is asking: we're looking for the price of 18 litres of paint that is part white paint and part blue paint. One way to answer the question is to understand t...
BS
Answered by Babak S. • Maths tutor
23329 Views

A circle with equation x^2+y^2-2x+8y-40=0. Find the circle centre and the radius

2g=-2, -g=1. 2f=-8, -f=4. cc(-2,4). r=√(g^2+f^2-c)=√(4+16+40)=√80=4√5
LM
Answered by Liam M. • Maths tutor
4790 Views