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First we need to look at the important information and draw a diagram (on whiteboard).

Now, we know that the area of the rectangle is 48cm2 and that the area of any rectangle is:

length side...

a) Sub y= π/2 into equation, hence x coordinate is 4π^2 b) to find equation of the tangent, differentiate the equation using the chain rule (wrt y) and then substitute the coordinates of p into the differ...

There are several ways to factorise this quadratic expression, but the best way in my opinon is:

1. Take the constant in front of the x^2 and multiply it by the standalone constant (i.e. mul...

Lets first give the equations names.

4x+y=25 (A)

x-3y=16 (B)

We want to get the equations so that they have either the same number of x's or same number of y's. So let's multiply equa...

First step is to realise that as x=3 is a root of f(x)=0, then we can use (x-3) as a factor of f(x). A really good method to use to find what (fx)/(x-3) gives is Synthetic Division. Using this method we t...