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For each set of curves given below: . Graph each curve and shade the region bounded by the curves. . Clearly label each curve and
For each set of curves given below: . Graph each curve and shade the region bounded by the curves. . Clearly label each curve and provide/label the r-values and y-values for the points of intersection. . Set up an integral that gives the volume of the solid obtained by revolving the given region about the given axes. *You do not have to evaluate the integrals for this worksheet, only set them up. However, fully evaluating them will be good practice for the exam. 1. y = 1' -5r and y = -4x2 a) Set up an integral that gives the volume from revolving about the x-axis. b) Set up an integral that gives the volume from revolving about the y-axis.2. I = (y+2)-+3 and 1=7-12 a) Set up an integral that gives the volume from revolving about the y-axis. b) Set up an integral that gives the volume from revolving about the vertical line x = 7.y=2+~fE and z: yE a] Set up an integral that gives the volume from revolving about the xaxis. 1:] Set up an integral that gives the volume 'nm revolving about the taxis. :.g,-*=2t.1m:lm1 g,.|'=21 and I= a] Set up an integral that gives the volume from revolving about the 1-inch. b] Set up an integral that gives the volume from revolving about the yaxis. Part In] results in an integral that is beyond the scope of this course. I would not recommend trying to evaluate it
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