Search over 10,000 free study notes

As the tangent has the same gradient as the curve at the particular point, we need to find the gradient of the curve. To find the gradient we need to differentiate. Due to there being two variables in thi...

The idea of an unseen poem can be very intimidating, especially when there is a time limit. To analyse an unseen poem begin by reading the poem in order to get a general understanding of the text, and sta...

Core: The muscle of the left ventricle is significantly thicker than the muscle of the right ventricle - recall that the ventricles are the chambers which contain the blood before ...

y = 3x - 3

 x^3=1=e^2(pi)ik 

x=e^2(pi)ik/3

The three roots are

k=0    x=1 

k=1    x=e^2(pi)*i/3

k=-1   x=e^-2(pi)ik/3