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Solving cubics is an interesting problem: while there is a formula which can find the roots of every cubic equation, it isn't taught and is not generally worth learning. Instead, exam questions will of...

We recall that a function f(x) is said to be an odd function when f(-x)=-f(x).

We are told that f(x) and g(x) are odd functions, so we know from the abov...

y=2^x
lny=xln2
y=e^(xln2)

(The rate at which the temperature of a body falls is proportional to the difference between the body temperature and the room temperature) - this would be given in the question.

This is ...

Expand first brackets:

4x²+6xy+6xy+9y²

Expand second brackets:

4xy²-6xy-6xy+9y²

Subtract the second e...