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  3. consider the region r, which is bounded by the cur

Consider the region R, which is bounded by the curves  y=3x and x=y(4−y). (a) Set up, but DO...

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Basic Math

Consider the region R, which is bounded by thecurves  y=3x and x=y(4−y).

(a) Set up, but DO NOT SOLVE, an integral to find the area ofthe region RR.

(b) Set up, but DO NOT SOLVE, an integral to find the volume ofthe solid resulting from revolving the region RRaround thexx-axis.

(c) Set up, but DO NOT SOLVE, an integral to find the volume ofthe solid resulting from revolving the region RRaround the linex=−5x=−5.

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