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To find the distance between the points A and C, we want to find the magnitude of the vector AC. In order to do this, we must first find the vector AC, which we do by using their position vectors. We are ...
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...
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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 ...
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