Question: Consider the following equations whose graphs enclose a region. f ( x ) = x 3 ; g ( x ) = x 2 +6

Consider the following equations whose graphs enclose a region.

f(x) =x3;g(x) =x2+6x

Find thex-coordinates of the points of intersection of the graphs. (Enter your answers as a comma-separated list.)

x=

Which is the top curve on the left-most interval enclosed by the graphs?

f(x) =x3

g(x) =x2+ 6x

Which is the top curve on the right-most interval enclosed by the graphs?

f(x) =x3

g(x) =x2+ 6x

Find the area of the region enclosed by the graphs. (Give an exact answer. Do not round.)

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