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Consider the function f(x) = x2 - 2x - 1.
(a) Factorise f(x) exactly.
(b) Find the exact points (x and y coordinates required) where the graph of y = f(x) cuts the x and y-axes.
(c) Graph y = f(x), marking on your diagram any points where the curve cuts the x and y axes.
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A bucket of height 8 cm and made up of copper sheet is in the form of frustum of right circular cone with radii of its lower and upper ends as 3 cm and 9 cm respectively. Calculate
(a+b)''2
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