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When the neurone is stimulated, the Na+ channels open to allow influx of sodium ions down its electrochemical gradient. This makes the inside of the cell less negative. When threshold voltage (-55m...

To start, we use the inverse trigonometric formulae to convert the 'cot' function into a 'tan' function: cot(2x)=1/(tan(2x))=3 Inverting this gives: tan(2x)=1/3 2x=arctan(1/3)=18.43°or (180+18.43)° Therfo...

Expanding and simplifying the right hand side: x²=4(x-3)(x-3)=4(x²-6x+9)=4x²-24x+36 Deducting 'x²' from both sides: 0=3x²-24x+36 Dividing by 3 and fa...

x^2+12x-45

x^2+15x-3x-45 (15x - 3x= 12x and 15 x -3=-45)

x(x+15)-3(x+15)

(x-3)(x+15) 

1. Look at the wording of the question. Is it a development at all? Look at the historic background of anglicisms in the German language; has their role increased over the years.

2. ...