Question: set R be the region defined by the equations y =x +3 and y =x2+9.(a) Sketch the region R.(b) Set up, do not evaluate, a

set R be the region defined by the equations y =x +3 and y =x2+9.(a) Sketch the region R.(b) Set up, do not evaluate, a definite integral (or integrals) for the area contained in the region R.(c) Set up, do not evaluate, a definite integral (or integrals) for the volume of the solid whose base is R and every cross-section perpendicular to the x-axis is a triangle whose base and height are equal and where the base lies on the region. 5

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