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The trapezium rule is not an exact method of integration, as it approximates the gradient between 2 ordinates to be constant. This method produces an overestimation for convex functions and underestimate ...

Step 1: Remove the most obvious factor, in this case 3x. y = 3x (x² - 4) Step 2: Realize (x² - 4) is the product of two squares and can undergo completing the square to produce ...

We need to first work out what 4% of £1200 is. 1% of £1200 = £(1200/100) = £12. 1% is £12, so 4%= 4*£12 = £48. She will receive a £48 increase.Adding that on to her original amount, £1200 + £48 = £1248.Fi...

As, at the point of intersection, the values of x and y are the same in each graph (otherwise it wouldn't be a point of intersection!), we can approach the problem as solving a pair of simultaneous equati...

2-12/x^3
36/x^4