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Firstly we need to integrate f(x). The general rule is: the integral of x^n = (1/(n+1))x^(n+1)+CSo apply that rule to each term of f'(x) as so:Integral of 18x^2 = (18/(2+1))x^(2+1) = 6x^3...

(In session I would begin by drawing a box-plot diagram and seeing if a student can also covert their data into a box-plot)There are 5 key points to a box-plot. You have the minimum value, lowest quartile...

If f(x)= 5 - x then f(2x)= 5 - 2x If g(x)= 3x + 7 then g(x-1)= 3(x-1) +7 = 3x - 3 + 7 = 3x +4
So f(2x) + g(x-1) = 5 - 2x + 3x + 4 = 9 + x

Gradient of AB: Change in Y/ Change in X .... (6-1)/(10-0) = 0.5Gradient of line perpendicular to AB: NEGATIVE (flip the sign) RECIPROCAL (flip th...

The key thing to notice here is that d must have the factors 4,3 and 2. The number 12 is the smallest to contain all those factors. We can then deduce c=6, b=4 and a=3 to get k=77.