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Benzene's delocalised π electrons means that it is not very nucleophilic and so cannot polarise a neutral molecule and produce the required electrophile. As a result it require a catalyst to form the elec...

z = 3x(x+y)³ - x³ + 24xDifferentiating partially with respect to x and with respect to y:∂z/∂x = 3(x+y)³ + 9x(x+y)² - 3x² + 24∂z/∂y = 9x(x+y)^2<...

Furthermore, through their presentation of the divine ‘The Great Gatsby’and ‘Then We Came to the End’act as criticisms or capitalism. There is a clear correlation between the Western wor...

Integrating sin^2A and cos^2A is a bit nasty so we can use double angle formula to make it a little simpler. cos2A = cos^2A - sin^2A = 2cos^2A - 1. We can rearrange to get cos^2A in nicer terms. cos^2A = ...

This question asks us to find the cartesian equation of l.
First we must find the points P and Q. To do this we substitute t with 1/4 to find P and substitute t with 2 to find Q.Doing this we get the...