6. (a) Carefully sketch (and shade) the (finite) region R in the first quadrant which is bounded above by the (inverted) parabola y = x(10 – x), bounded on the right by the straight line r = 5, and is bounded below by the horizontal straight line y = 9. (b) Write down an integral (or integrals) for the area of the region R. Answer: (c) Hence, or otherwise, determine the area of the region R.

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