(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]
Get Answers For Free
Most questions answered within 1 hours.