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Below is the solution to the aforementioned question. In order to solve a simultaneous equation, one has to write one of the unkown variables in terms of the other. In this case, x was already written in ...
a) The gradient of a line is given by the equation (change in y)/(change in x). Therefore to find the gradient of the line in part a we must do (12-9)/(3-0) = 1. Now we have the gradient we can use the fo...
First it's helpful to write f(x) = (x^0.5)ln(x)The product rule is useful here, this may be written in the form (u(x)v(x))' = u(x)v'(x) + u'(x)v(x).Here we will take u(x) = x^0.5 and v(x) = ln...
There are 3 methods for finding the range of a polynomial fucntion. This is good news because if you arrive at the same answer using these methods you wil be more confident that it is the correct answer.T...
The double angle formula is how to combine/split trigonometric functions so that they can be integrated or simplified using identities. For example, cos (a+b)= cos(a)cos(b) - sin(a)sin(b) , which can be e...
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