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First, we must recognise that the integral is written as a product of two functions which cannot be directly integrated, therefore a trigonometric identity must be used to express this a single function. ...

We first expand the first set of brackets by multiplying each element of it by the second set of brackets so (x + 1)(2x + 3) = (x)(2x + 3) + (1)(2x + 3) = x(2x + 3) + (2x + 3). We can then expand out the ...

x=4, y=-2

Using the elimination technique:As we have -2y in both equations we can take the equations away from each other in order to eliminate -2y and create a new linear equation involving only x. this equation w...

The question can be written algebraically, as:(a) 3t + 2c = 7.80(b) 5t + 4c = 14.20To work out the individual costs, we need to make one of the sets of variables equal. We can do this by multiplying the e...