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Define f ( x ) = ln x and g ( x ) = 3 + 2 x - x ^ 2 . A )

Define f(x)=ln x and g(x)=3+2x-x^2.
A) Plot f(x) and g(x) for 0.5<=x<=4. 
B) Find the area of the region in the first quadrant which is below both f(x) and g(x).
 C) Find the volume of the solid that is formed by revolving the region in part (B) about the x-axis. answer in maple notation 

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