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How to factorise any quadratic expression

Factorising quadratic equations This method is used for the following factorable expression: ax 2 +bx+c Although this method is particularly useful with quadratic expressions with a≥2, it can be also used wh...
AP
Answered by Adil P. Maths tutor
6097 Views

How do I integrate ln(x)

This is an integral many people struggle with, but, with a simple trick it becomes a little more straight forward. We will approach this integral using integration by parts. But what are the parts? Well, we ...
TM
Answered by Tom M. Maths tutor
5936 Views

How do you invert a 2x2 matrix?

Take a matrix A=( a c b d ), where a,b,c,d are numbers. First find the determinant. This is a d-b c. Now, rearrange the matrix to become ( d -c -b a ). Divide this by the determinant, to have A -1 = 1 / (ad-...
YP
7126 Views

How do you solve the integral of ln(x)

This will use the process of integration by parts. First, notice that ln(x)=ln(x)*1. So, the integral of ln(x) is the integral of ln(x) 1. The process of integration by parts is; int (v du / dx ) dx =vu - in...
YP
Answered by Yaniv P. Maths tutor
5298 Views

What are some key differences between sound and light waves?

Sound waves have mass, as they are the longitudinal (along the path of the wave) vibration shockwave of molecule, while light waves do not, as they are the transverse displacement of just energy. Sound waves...
YP
Answered by Yaniv P. Physics tutor
62550 Views