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Using cosine rule a.b = |a||b|cos(theta) and the example vectors a = (1,2,3) and b = (3,2,1),First explain why the cosine rule exists, use a geometric proof of the cosine rule. Show the magintude of a=b=r...

For example show that x + 3 is a factor of p(x) = x³ - 5x² - 8x + 48

We need to show that when x = -3, p(x) = 0. If this is the case then x + 3 is a factor of p(x)

putt...

(This is something that I didnt fully understand for quite a while at school.) So when we are solving x²=25, in order to get x "on it's own" we square root both sides. However the def...

You will end up with an equation with the form y = mx + c you should be familiar with from GCSE First you would need to differentiate the equation of the line For example if you had f(x) = x³ +...

Curve: y = 3x²(x+2)⁶ Coordinate: (-1, 3)

This is typically a C3/4 level question because of the differentiation, but the rest of t...