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(a) To confirm that point P lies on L, we must substitute x = 3 into the equation and see if we get y = -1. y = 5 - 2(3) = -1, therefore P lies on the line L (b) The gradient of the perpendicular line is ...

Across the globe, the theory of plate tectonics and evidence of shallow Earth structure processes has enabled scientists to determine the variety of hazards cause by different eruptive styles. Volcanoes p...

Phenylamine is a weaker base than ethylamine because the lone pair on the nitrogen atom in phenylamine is spread into the delocalised electron ring in benzene, therefore is less available for protonation ...

differentiate 6x^3 + 2x^2 + 1 = 18x^2 + 4x

To determine stationary point set second derivative to zero

2nd derivative =36x + 4

36x + 4 = 0 therefore x = -4/36 = -1/9

x is -ve t...

Literature is hugely influenced by the contexts in which it is written. If someone said a single statement, such as 'I'm so surprised I got a C in my test' you wouldn't be able to understand what they mea...