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gradient and differentiation

dy/dxfirst principal

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Rana sells 192 cakes in the ratio small : medium : large = 7 : 6 : 11. medium cakes are worth double small ones and large cakes triple small ones. If the cakes go for £532.48 how much is a small cake worth

A and B are points on a circle, centre O. BC is a tangent to the circle. AOC is a straight line. Angle ABO = x°. Find the size of angle ACB, in terms of x. Give your answer in its simplest form. Give reasons for each stage of your working.

solve for x by completing the square x^2 + 4x - 12

How to factorise the expression x^2 + 8x + 15

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