| 1 | Boundaries of two dimensional region: y=7.10*x+100.3 and y= 2.5*x^4+12.6*x^3+9.2*x^2+18.1 Area of the region: 490.160 Boundaries of three dimensional region: z=(1.04)*(x^2+y^2);x^2+y^2+z^2=( 8.4)^2 Volume of the region: 100.701; your density function: 19.2*x^4*z^2+10.4*y^2*z^4 |
| 2 | Boundaries of two dimensional region: y=3.35*x+112.2 and y= 7.5*x^4-8.8*x^3-6.9*x+14.2 Area of the region: 331.879 Boundaries of three dimensional region: z=(1.45)*(x^2+y^2);x^2+y^2+z^2=( 7.7)^2 Volume of the region: 61.437; your density function: 8.5*z^4+13.5*y^4 |
| 3 | Boundaries of two dimensional region: y=2.85*x+102.0 and y= 19.1*x^4-19.2*x^2+22.2*x+9.0 Area of the region: 274.612 Boundaries of three dimensional region: z=(1.22)*(x^2+y^2);x^2+y^2+z^2=( 3.7)^2 Volume of the region: 15.812; your density function: 8.4*z^2+9.2*y^2 |
| 4 | Boundaries of two dimensional region: y=8.00*x+110.5 and y= 7.2*x^4+37.4*x^3+27.2*x^2-24.0*x+12.0 Area of the region: 590.717 Boundaries of three dimensional region: z=(1.85)*(x^2+y^2);x^2+y^2+z^2=( 2.8)^2 Volume of the region: 6.054; your density function: 11.9*x^2*z^4+4.4 |
| 5 | Boundaries of two dimensional region: y=6.05*x+27.2 and y= 9.2*x^4+5.6*x+3.1 Area of the region: 49.061 Boundaries of three dimensional region: z=(.65)*(x^2+y^2);x^2+y^2+z^2=( 6.7)^2 Volume of the region: 96.939; your density function: 18.2*x^4+5.3*y^4*z^4 |
| 6 | Boundaries of two dimensional region: y=5.05*x+66.3 and y= 9.1*x^4+54.0*x^2+3.6 Area of the region: 85.937 Boundaries of three dimensional region: z=(.53)*(x^2+y^2);x^2+y^2+z^2=( 4.8)^2 Volume of the region: 56.494; your density function: 9.4*x^2*z^2+17.5*y^4 |
| 7 | Boundaries of two dimensional region: y=5.05*x+161.5 and y= 18.1*x^4-57.6*x^2-5.5*x+18.3 Area of the region: 666.893 Boundaries of three dimensional region: z=(1.83)*(x^2+y^2);x^2+y^2+z^2=( 4.2)^2 Volume of the region: 14.198; your density function: 3.5*x^2*z^2+6.5*z^2 |
| 8 | Boundaries of two dimensional region: y=2.95*x+91.8 and y= 8.5*x^4-19.0*x^3+4.4*x+15.2 Area of the region: 291.454 Boundaries of three dimensional region: z=(1.18)*(x^2+y^2);x^2+y^2+z^2=( 5.3)^2 Volume of the region: 34.558; your density function: 12.2*z^4+14.5*y^2*z^2 |
| 9 | Boundaries of two dimensional region: y=7.95*x+42.5 and y= 18.4*x^4+4.6*x^3-11.8*x^2+3.0 Area of the region: 93.005 Boundaries of three dimensional region: z=(.96)*(x^2+y^2);x^2+y^2+z^2=( 7.9)^2 Volume of the region: 95.674; your density function: 8.7*x^2*z^2+16.6*y^2*z^4 |
| 10 | Boundaries of two dimensional region: y=3.95*x+34.0 and y= 5.1*x^4+8.4*x^3-17.2*x^2+14.9 Area of the region: 152.616 Boundaries of three dimensional region: z=(1.38)*(x^2+y^2);x^2+y^2+z^2=( 2.0)^2 Volume of the region: 3.821; your density function: 6.1*x^4+3.5*y^4 |
| 11 | Boundaries of two dimensional region: y=4.25*x+127.5 and y= 10.3*x^4+17.8*x^3-29.2*x^2+15.9 Area of the region: 617.309 Boundaries of three dimensional region: z=(.50)*(x^2+y^2);x^2+y^2+z^2=( 1.5)^2 Volume of the region: 3.960; your density function: 15.3*x^4+19.9*y^4*z^4 |
| 12 | Boundaries of two dimensional region: y=7.50*x+83.3 and y= 3.4*x^4+17.1*x^3+38.8*x^2-9.2*x+16.9 Area of the region: 112.781 Boundaries of three dimensional region: z=(.99)*(x^2+y^2);x^2+y^2+z^2=( 4.0)^2 Volume of the region: 22.438; your density function: 17.0*z^2+10.6*y^4*z^2 |
| 13 | Boundaries of two dimensional region: y=2.90*x+113.9 and y= 2.2*x^4+11.3*x+19.9 Area of the region: 387.658 Boundaries of three dimensional region: z=(1.92)*(x^2+y^2);x^2+y^2+z^2=( 10.0)^2 Volume of the region: 79.718; your density function: 6.1*z^2+14.6*y^2*z^4 |
| 14 | Boundaries of two dimensional region: y=3.25*x+73.1 and y= 7.0*x^4-49.6*x^2+17.7 Area of the region: 555.035 Boundaries of three dimensional region: z=(.86)*(x^2+y^2);x^2+y^2+z^2=( 8.8)^2 Volume of the region: 132.501; your density function: 11.6*z^4+5.8*y^2*z^4 |
| 15 | Boundaries of two dimensional region: y=8.90*x+164.9 and y= 15.6*x^4-16.6*x^3+14.6*x+12.8 Area of the region: 451.106 Boundaries of three dimensional region: z=(1.13)*(x^2+y^2);x^2+y^2+z^2=( 8.2)^2 Volume of the region: 88.603; your density function: 2.8*x^2+11.7*z^2 |
| 16 | Boundaries of two dimensional region: y=2.90*x+113.9 and y= 18.4*x^4+11.6 Area of the region: 251.414 Boundaries of three dimensional region: z=(1.97)*(x^2+y^2);x^2+y^2+z^2=( 7.3)^2 Volume of the region: 41.048; your density function: 16.1*x^2*z^2+7.4*y^2*z^2 |
| 17 | Boundaries of two dimensional region: y=4.65*x+39.1 and y= 4.9*x^4-6.8*x+13.5 Area of the region: 66.317 Boundaries of three dimensional region: z=(.52)*(x^2+y^2);x^2+y^2+z^2=( 2.0)^2 Volume of the region: 7.812; your density function: 11.1*x^4*z^4+8.4*y^2 |
| 18 | Boundaries of two dimensional region: y=3.20*x+119.0 and y= 8.8*x^4+21.0*x+2.3 Area of the region: 361.029 Boundaries of three dimensional region: z=(1.12)*(x^2+y^2);x^2+y^2+z^2=( 1.7)^2 Volume of the region: 3.157; your density function: 13.7*x^2+7.0*y^2 |
| 19 | Boundaries of two dimensional region: y=7.05*x+102.0 and y= 18.1*x^4-12.2*x^2+11.7 Area of the region: 246.880 Boundaries of three dimensional region: z=(1.92)*(x^2+y^2);x^2+y^2+z^2=( 3.0)^2 Volume of the region: 6.760; your density function: 3.5*x^2*z^2+18.9*y^2*z^2 |
| 20 | Boundaries of two dimensional region: y=5.70*x+73.1 and y= 14.7*x^4+38.2*x^2+10.2*x+10.4 Area of the region: 94.885 Boundaries of three dimensional region: z=(.73)*(x^2+y^2);x^2+y^2+z^2=( 4.1)^2 Volume of the region: 30.760; your density function: 3.5*x^2+3.8*y^2*z^2 |
| 21 | Boundaries of two dimensional region: y=5.85*x+124.1 and y= 5.9*x^4+11.6*x^3-27.6*x^2+16.5*x+7.0 Area of the region: 900.779 Boundaries of three dimensional region: z=(1.76)*(x^2+y^2);x^2+y^2+z^2=( 5.9)^2 Volume of the region: 29.619; your density function: 8.3*x^4*z^2+2.3*y^4*z^4 |
| 22 | Boundaries of two dimensional region: y=4.15*x+156.4 and y= 15.7*x^4+19.3*x+8.0 Area of the region: 418.413 Boundaries of three dimensional region: z=(.76)*(x^2+y^2);x^2+y^2+z^2=( 1.7)^2 Volume of the region: 4.173; your density function: 17.4*x^4*z^2+3.5*y^2*z^4 |
| 23 | Boundaries of two dimensional region: y=6.45*x+28.9 and y= 6.7*x^4+9.8 Area of the region: 40.900 Boundaries of three dimensional region: z=(.72)*(x^2+y^2);x^2+y^2+z^2=( 2.7)^2 Volume of the region: 12.448; your density function: 18.2+4.5*y^2*z^4 |
| 24 | Boundaries of two dimensional region: y=3.75*x+69.7 and y= 10.2*x^4-18.2*x^3-47.6*x^2+5.7 Area of the region: 659.741 Boundaries of three dimensional region: z=(1.43)*(x^2+y^2);x^2+y^2+z^2=( 1.8)^2 Volume of the region: 2.951; your density function: 17.8+10.0*y^4 |
| 25 | Boundaries of two dimensional region: y=6.85*x+57.8 and y= 3.5*x^4-19.5*x^3+21.0*x^2-18.0*x+3.6 Area of the region: 606.712 Boundaries of three dimensional region: z=(1.82)*(x^2+y^2);x^2+y^2+z^2=( 2.2)^2 Volume of the region: 3.697; your density function: 12.4*x^2+7.3*y^2 |
| 26 | Boundaries of two dimensional region: y=7.15*x+64.6 and y= 7.9*x^4+19.6*x^2+17.6*x+10.2 Area of the region: 102.545 Boundaries of three dimensional region: z=(1.95)*(x^2+y^2);x^2+y^2+z^2=( 8.8)^2 Volume of the region: 60.598; your density function: 5.7*x^2+6.8*z^2 |
| 27 | Boundaries of two dimensional region: y=8.30*x+28.9 and y= 6.7*x^4+12.0*x^3+20.8*x+5.2 Area of the region: 99.250 Boundaries of three dimensional region: z=(1.62)*(x^2+y^2);x^2+y^2+z^2=( 3.6)^2 Volume of the region: 11.549; your density function: 19.2*x^2*z^4+10.2*z^2 |
| 28 | Boundaries of two dimensional region: y=4.35*x+95.2 and y= 19.3*x^4-23.6*x^2+18.0 Area of the region: 231.224 Boundaries of three dimensional region: z=(.55)*(x^2+y^2);x^2+y^2+z^2=( 5.9)^2 Volume of the region: 85.582; your density function: 9.9*x^2*z^4+3.5 |
| 29 | Boundaries of two dimensional region: y=9.75*x+132.6 and y= 4.3*x^4-25.0*x+14.0 Area of the region: 465.281 Boundaries of three dimensional region: z=(1.87)*(x^2+y^2);x^2+y^2+z^2=( 8.9)^2 Volume of the region: 64.577; your density function: 4.3*x^4+13.2*y^2 |
| 30 | Boundaries of two dimensional region: y=8.35*x+103.7 and y= 12.9*x^4+13.0*x^3-62.4*x^2+9.4*x+12.1 Area of the region: 692.681 Boundaries of three dimensional region: z=(.72)*(x^2+y^2);x^2+y^2+z^2=( 2.5)^2 Volume of the region: 10.477; your density function: 17.7*z^2+16.3*y^4 |
| 31 | Boundaries of two dimensional region: y=7.65*x+51.0 and y= 5.9*x^4+29.2*x+7.6 Area of the region: 126.176 Boundaries of three dimensional region: z=(1.84)*(x^2+y^2);x^2+y^2+z^2=( 4.2)^2 Volume of the region: 14.126; your density function: 4.6*x^2*z^4+3.2*z^2 |
| 32 | Boundaries of two dimensional region: y=4.25*x+49.3 and y= 17.7*x^4+39.4*x^3+14.8*x^2+5.7 Area of the region: 112.628 Boundaries of three dimensional region: z=(1.79)*(x^2+y^2);x^2+y^2+z^2=( 3.7)^2 Volume of the region: 11.151; your density function: 7.8*x^2+4.9*y^2*z^2 |
| 33 | Boundaries of two dimensional region: y=3.60*x+117.3 and y= 8.5*x^4+16.2*x^3+12.6*x+10.8 Area of the region: 407.925 Boundaries of three dimensional region: z=(1.40)*(x^2+y^2);x^2+y^2+z^2=( 6.4)^2 Volume of the region: 43.486; your density function: 13.9*x^4*z^4+4.2*y^4*z^4 |
| 34 | Boundaries of two dimensional region: y=7.55*x+125.8 and y= 12.4*x^4-13.0*x^3+56.4*x^2+6.9 Area of the region: 214.075 Boundaries of three dimensional region: z=(1.11)*(x^2+y^2);x^2+y^2+z^2=( 1.9)^2 Volume of the region: 4.072; your density function: 5.7+8.2*y^2*z^4 |
| 35 | Boundaries of two dimensional region: y=3.70*x+112.2 and y= 13.3*x^4+5.6*x^3-30.4*x+3.2 Area of the region: 298.759 Boundaries of three dimensional region: z=(1.97)*(x^2+y^2);x^2+y^2+z^2=( 4.6)^2 Volume of the region: 15.975; your density function: 10.2*x^2*z^2+9.6*y^2*z^4 |
| 36 | Boundaries of two dimensional region: y=8.65*x+163.2 and y= 11.1*x^4+9.2*x^2+6.6*x+3.9 Area of the region: 454.423 Boundaries of three dimensional region: z=(1.32)*(x^2+y^2);x^2+y^2+z^2=( 5.2)^2 Volume of the region: 29.944; your density function: 11.1*x^2*z^4+8.7*y^2 |
| 37 | Boundaries of two dimensional region: y=2.65*x+71.4 and y= 10.3*x^4-14.8*x^2-11.6*x+9.8 Area of the region: 204.958 Boundaries of three dimensional region: z=(.70)*(x^2+y^2);x^2+y^2+z^2=( 2.0)^2 Volume of the region: 6.433; your density function: 4.5+5.3*y^2*z^4 |
| 38 | Boundaries of two dimensional region: y=3.45*x+142.8 and y= 19.6*x^4+30.0*x^2-10.4*x+16.1 Area of the region: 259.166 Boundaries of three dimensional region: z=(1.89)*(x^2+y^2);x^2+y^2+z^2=( 7.0)^2 Volume of the region: 39.223; your density function: 7.1*x^2+10.3 |
| 39 | Boundaries of two dimensional region: y=5.60*x+90.1 and y= 15.8*x^4-38.2*x^3+19.5 Area of the region: 320.544 Boundaries of three dimensional region: z=(1.05)*(x^2+y^2);x^2+y^2+z^2=( 5.5)^2 Volume of the region: 41.555; your density function: 6.4*z^4+3.7*y^4*z^4 |
| 40 | Boundaries of two dimensional region: y=9.90*x+79.9 and y= 6.2*x^4+11.5*x^3+36.6*x^2-38.0*x+3.9 Area of the region: 144.323 Boundaries of three dimensional region: z=(.70)*(x^2+y^2);x^2+y^2+z^2=( 3.7)^2 Volume of the region: 25.498; your density function: 9.1*z^4+2.9*y^2*z^4 |
| 41 | Boundaries of two dimensional region: y=7.55*x+39.1 and y= 10.3*x^4+16.3*x^3-10.8*x^2+5.7 Area of the region: 121.316 Boundaries of three dimensional region: z=(1.92)*(x^2+y^2);x^2+y^2+z^2=( 4.8)^2 Volume of the region: 17.863; your density function: 15.5*x^2*z^4+14.8*z^2 |
| 42 | Boundaries of two dimensional region: y=3.15*x+90.1 and y= 13.0*x^4+5.6*x^3-15.4*x^2+13.6 Area of the region: 240.199 Boundaries of three dimensional region: z=(.68)*(x^2+y^2);x^2+y^2+z^2=( 9.5)^2 Volume of the region: 193.149; your density function: 6.9*x^2+10.1*y^2*z^4 |
| 43 | Boundaries of two dimensional region: y=5.30*x+127.5 and y= 11.6*x^4+6.0*x^3+30.2*x^2-22.0*x+6.7 Area of the region: 261.219 Boundaries of three dimensional region: z=(1.56)*(x^2+y^2);x^2+y^2+z^2=( 3.8)^2 Volume of the region: 13.380; your density function: 13.7*x^4+18.9 |
| 44 | Boundaries of two dimensional region: y=10.00*x+66.3 and y= 14.2*x^4+57.2*x^2+7.0 Area of the region: 76.245 Boundaries of three dimensional region: z=(1.51)*(x^2+y^2);x^2+y^2+z^2=( 2.0)^2 Volume of the region: 3.543; your density function: 6.0*x^4*z^2+10.4 |
| 45 | Boundaries of two dimensional region: y=8.15*x+79.9 and y= 3.9*x^4-13.2*x^3+23.6*x^2+13.0*x+9.0 Area of the region: 164.416 Boundaries of three dimensional region: z=(1.98)*(x^2+y^2);x^2+y^2+z^2=( 8.6)^2 Volume of the region: 56.985; your density function: 12.3*x^4+3.8*y^2*z^4 |
| 46 | Boundaries of two dimensional region: y=6.20*x+32.3 and y= 9.7*x^4-17.0*x^3+5.5*x+18.9 Area of the region: 42.335 Boundaries of three dimensional region: z=(1.12)*(x^2+y^2);x^2+y^2+z^2=( 9.4)^2 Volume of the region: 118.222; your density function: 19.8*x^2+14.9*y^4 |
| 47 | Boundaries of two dimensional region: y=8.50*x+147.9 and y= 11.0*x^4-38.2*x^3+19.2 Area of the region: 924.163 Boundaries of three dimensional region: z=(.62)*(x^2+y^2);x^2+y^2+z^2=( 7.4)^2 Volume of the region: 124.671; your density function: 11.8*x^2*z^2+7.0*y^4 |
| 48 | Boundaries of two dimensional region: y=7.40*x+161.5 and y= 19.9*x^4-16.6*x+17.2 Area of the region: 383.274 Boundaries of three dimensional region: z=(.63)*(x^2+y^2);x^2+y^2+z^2=( 9.5)^2 Volume of the region: 207.238; your density function: 18.1*z^4+7.4*y^4*z^2 |
| 49 | Boundaries of two dimensional region: y=3.55*x+79.9 and y= 11.4*x^4+11.8*x^3-30.8*x^2+17.4 Area of the region: 303.333 Boundaries of three dimensional region: z=(1.97)*(x^2+y^2);x^2+y^2+z^2=( 2.5)^2 Volume of the region: 4.510; your density function: 10.3*z^2+18.6*y^4*z^2 |
| 50 | Boundaries of two dimensional region: y=5.00*x+122.4 and y= 9.6*x^4-38.8*x^3+12.8*x^2-7.2*x+9.3 Area of the region: 889.034 Boundaries of three dimensional region: z=(.62)*(x^2+y^2);x^2+y^2+z^2=( 5.3)^2 Volume of the region: 61.374; your density function: 15.0*x^2*z^4+20.0*y^4 |
| 51 | Boundaries of two dimensional region: y=9.20*x+34.0 and y= 10.5*x^4+8.7*x^3-24.8*x^2-3.4*x+9.1 Area of the region: 111.944 Boundaries of three dimensional region: z=(1.70)*(x^2+y^2);x^2+y^2+z^2=( 4.1)^2 Volume of the region: 14.470; your density function: 17.3*x^4*z^2+5.3*y^2 |
| 52 | Boundaries of two dimensional region: y=2.95*x+147.9 and y= 7.4*x^4+7.0*x^3-25.2*x^2+22.8*x+12.6 Area of the region: 727.980 Boundaries of three dimensional region: z=(.96)*(x^2+y^2);x^2+y^2+z^2=( 7.9)^2 Volume of the region: 95.674; your density function: 6.9*x^4*z^2+2.5*z^4 |
| 53 | Boundaries of two dimensional region: y=6.70*x+81.6 and y= 8.8*x^4-3.9*x^3-25.0*x+17.9 Area of the region: 198.014 Boundaries of three dimensional region: z=(1.97)*(x^2+y^2);x^2+y^2+z^2=( 2.6)^2 Volume of the region: 4.897; your density function: 10.7*x^2*z^4+3.5*y^2*z^2 |
| 54 | Boundaries of two dimensional region: y=8.30*x+134.3 and y= 3.9*x^4+18.6*x^3+7.4*x^2-24.4*x+18.8 Area of the region: 624.690 Boundaries of three dimensional region: z=(1.76)*(x^2+y^2);x^2+y^2+z^2=( 2.2)^2 Volume of the region: 3.808; your density function: 8.0*x^4*z^2+13.4*y^4 |
| 55 | Boundaries of two dimensional region: y=5.60*x+47.6 and y= 6.8*x^4-34.6*x^3+73.6*x^2-10.0*x+10.1 Area of the region: 41.858 Boundaries of three dimensional region: z=(1.65)*(x^2+y^2);x^2+y^2+z^2=( 5.1)^2 Volume of the region: 23.347; your density function: 7.9*x^2*z^2+5.4*y^4*z^2 |