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In order to solve this question, I am going to use the FOIL (first, outer, inner, last) method of expanding brackets. First we need to multiply the two first elements in each bracket together - in this ca...

Question has two figures: a trapezium with angles 60, 2x, 3x,x and two lines AB and CD with a line across them forming conjugate angle sets with the two labelled angles 120 and x not part of the same pair...

first we find the first derivative of the function. Here dy/dx = x^2-8x+12. We set this to zero and factorise to obtain the roots of the function. Such that dy/dx = (x-6)(x-2)= 0. This gives the stationar...

As both equations have y on the left hand side we can put the right hand sides equal to each other, so 2x=x+3. We can then subtract x from both sides. This gives 2x-x on the left hand side which is x, and...

Looking at this question the first thing we should notice is that there is a an x squared inside a bracket which is also squared. As there is function inside a function we must use the chain rule. The sim...