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(a) Find the volume of the solid generated by revolving the region bounded by the curves...

  1. (a) Find the volume of the solid generated by revolving the region bounded by the curves y=x2 andy=4x−x2 abouttheliney=6. [20marks]

    (b) Sketch the graph of a continuous function f(x) satisfying the following properties: (i) the graph of f goes through the origin
    (ii) f′(−2) = 0 and f′(3) = 0.
    (iii) f′(x) > 0 on the intervals (−∞,−2) and (−2,3).

    (iv) f′(x) < 0 on the interval (3,∞).
    Label all important points. [30 marks]

Math   Calculus   
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