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

Define f

(

) =

ln x and g

(

) = 3 + 2

-

^2 .

)

Plot f

(

)

and g

(

)

for

0.5 < =

< = 4 .

)

Find the area of the region in the first quadrant which is below both f

(

)

and g

(

) .

)

Find the volume of the solid that is formed by revolving the region in part

(

)

about the x

-

axis. answer in maple notation

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