Question: The functionfis defined byf(x)=3(1+x)^0.5 cos(x6)for0x3. The functiongis continuous and decreasing for0x3withg(3)=0.The figure above on the left shows the graphs offandgand the regionsRandS.Ris the region bounded

The functionfis defined byf(x)=3(1+x)^0.5 cos(x6)for0x3. The functiongis continuous and decreasing for0x3withg(3)=0.The figure above on the left shows the graphs offandgand the regionsRandS.Ris the region bounded by the graph ofgand thex- andy-axes. RegionRhas area3.24125.Sis the region bounded by they-axis and the graphs offandg.The figure above on the right shows the graph ofy=(g(x))2and the regionT.Tis the region bounded by the graph ofy=(g(x))2and thex- andy-axes. RegionThas area5.32021.

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