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Choose the triple integral, including limits of integration,that gives the volume between z = x + y and z = 5 + 7x + 8y
Choose the triple integral, including limits of integration,that gives the volume between z = x + y and z = 5 + 7x + 8y and above OSxSI,OSySZ. Choose the triple integral, including limits of integration, that gives the volume between the paraboloid z = x + y and the sphere x2 + y2 + z? = 9 and above the disk x- + y 5 1. v = V9-x2 - y2 1 dzdydx x 2 + 1 2 Ov= LJ V9-x2-2 1 dzdxdy O V9-x2 -12 1 dzdydx V9-x2 -y2 1 dzdydx * 2 + y 2 -x2 x 2 + y 2 1 dzdydx -V9-x2 - y2 eTextbook and MediaChoose the triple integral, including limits of integration, that gives the volume under the sphere x + y + z- = 50 and above the region between y = x and y = 2x - 5 in the xy-plane in the first quadrant. v = 1 1. (y+5)/2 V50-x2-y2 1 dzdxdy 0 50-x2-y2 1 dzdydx 50-x2-2 1 dzdxdy Ov = lol, (v+5)/2 V50-x2 -y2 1 dzdydx O Ov= lol, 5 ()+5)/2 150-x2-12 1 dzdxdyChoose the triple integral, including limits of integration, that gives the volume between the top portion of the sphere x2 + y2 + 2 = 100 and plane z = 9. /19 19-x2 9 V = 1 dzdydx 19 V19-x2 V100-x2 -y2 19 19-x2 100-x2-2 V = 1 dzdydx 19 - 19 - O /19 V19-x2 V100-x2-y2 V = 1 dzdxdy 19 V19-x2 9 O V19-x2 V 19 V100-x2 -y2 V = 1 dzdydx V19-x2 19 9 O V 19 V19-x2 V100-x2-y2 V = 1 dzdydx 19 V19-x2 J 9Choose the triple integral, including limits of integration, that gives the volume under the sphere x + y + z = 36 and above the region x2 + y
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