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x 2 +x-6=y Is the equation we will use to demonstrate how to factorise quadratics. The first step involves using the basic shape of all quadratic factorisation: ax 2 +bx+c=y x 2 +x-6=y (Cx+A)(Dx+B)=y We must...

e (x ^2+2) =f(x)=y Is the equation we will use to demonstrate correct use of the chain rule. The equation at the core of the chain rule is: dy/dx=dt/dx*dy/dt Seeing that dt as a numerator and dt as a denomin...

Effective Nuclear Charge is the net positive nuclear charge experienced by a valence electron orbiting the positively charged nucleus in an atom. Effective nuclear charge is redcued by: -increased distance b...

A good personal statement depends on the subject you’re applying for, but here are a few tips: 1. Make sure that about most of the statement is about your pursuits relevant to the course (I suggest around ¾)...

First differentiate the function: y = f(x) => dy/dx = f'(x) Then set dy/dx = 0 and find the solutions. i.e. solve 0 = f'(x) For each value of x that is a solution, substitute back into f(x) to get the y c...