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6a + 3b = 7 (1) 4a + 4b = 12 (2) We need to eliminate one of the variables in our simultaneous equations in order to be able to find a numerical value. As the same signs are used in both equations (i.e. a...

We will be using the quotient rule, although the product rule is also usable and can be run through if the student wishes. Firstly, define u = 8x, v = x-8 for simplicity. Then clearly u' = 8, v' = 1, and ...

For this we must use the chain rule. We start by defining x³ as a new variable, u = x³ Can then rewrite the expression as y = sin(u) Chain rule tells us that dy/dx = (dy/du)(du/dx) W...

Social influences Conformity can be regarded as one form of social influence which describes the tendency to align ones attitudes, beliefs, and behaviours with a group. Thus, it can be regarded as a 'majo...

For every member of the Royal Academy (an institution dictating the “official” taste in art in the eighteenth and nineteenth century) the term “Grand Manner” would have been applied to every painting cons...