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first we need to work out the gradient of the tangent at (5,8). so first differentiate the equation once with respect to x. this gives is dy/dx=2x-4. so at (5,8) the gradient of the tangent is 6. this mea...

23 - 2^0.5

This is a typical Core 2 maths AS question.

I would start by explaining how a formula can be used to expand this expression and similar ones. I would then explain how to create pascal's triangle an...

The first step is to recall the formula for arithmetic progressions: u(n) = a + (n-1)d We can then put all the information given in the question into this so u(12) = 66.5 = a + 11d and u(19) = 98 = a ...