| Agrawal,_Deepika | 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=(.73)*(x^2+y^2);x^2+y^2+z^2=( 7.0)^2 Volume of the region: 95.769; your density function: 14.2+13.7*y^2*z^4 |
| Ahmed,_Salman | 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=(1.12)*(x^2+y^2);x^2+y^2+z^2=( 9.0)^2 Volume of the region: 108.150; your density function: 6.4*x^2+9.6*y^4*z^2 |
| Aldaz_Cuevas,_Alvaro | 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=(1.60)*(x^2+y^2);x^2+y^2+z^2=( 1.5)^2 Volume of the region: 1.808; your density function: 4.3*x^4*z^2+11.1*y^2*z^4 |
| Amoroso,_Stephen | 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=(1.82)*(x^2+y^2);x^2+y^2+z^2=( 8.6)^2 Volume of the region: 61.837; your density function: 11.5*x^2+14.7*y^4*z^2 |
| Anand,_Milan | 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=(1.01)*(x^2+y^2);x^2+y^2+z^2=( 3.2)^2 Volume of the region: 13.701; your density function: 6.4*z^4+3.7*y^4*z^4 |
| Bassily,_Andrew | 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=(1.53)*(x^2+y^2);x^2+y^2+z^2=( 8.0)^2 Volume of the region: 63.094; your density function: 11.8*x^2*z^4+3.3*y^2*z^4 |
| Bialik,_Zachary | 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=(1.93)*(x^2+y^2);x^2+y^2+z^2=( 9.1)^2 Volume of the region: 65.515; your density function: 12.1*x^2+15.5*y^2*z^4 |
| Brenner,_Ryan | 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=(1.10)*(x^2+y^2);x^2+y^2+z^2=( 8.5)^2 Volume of the region: 97.848; your density function: 8.5*x^4*z^4+7.8*y^4*z^4 |
| Brewer,_Gregory | 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=(.73)*(x^2+y^2);x^2+y^2+z^2=( 2.1)^2 Volume of the region: 6.986; your density function: 14.8*x^2+17.2*z^4 |
| Budzinski,_David | 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=(1.51)*(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 |
| Burke,_Kelly | 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=(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 |
| Cardella,_Dominick | 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=(1.79)*(x^2+y^2);x^2+y^2+z^2=( 3.3)^2 Volume of the region: 8.792; your density function: 16.8*x^4+18.9*y^4*z^2 |
| Chandra,_Shiva | 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=(1.38)*(x^2+y^2);x^2+y^2+z^2=( 9.6)^2 Volume of the region: 101.041; your density function: 19.9*z^4+3.3*y^4 |
| Chien,_Hui-Chun | 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=(1.15)*(x^2+y^2);x^2+y^2+z^2=( 9.8)^2 Volume of the region: 125.531; your density function: 11.2*x^2*z^4+16.5*z^2 |
| Chung,_Eric | 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=(1.06)*(x^2+y^2);x^2+y^2+z^2=( 9.5)^2 Volume of the region: 127.315; your density function: 3.4*x^4+11.6 |
| Cohick,_Benjamin | 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=(.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 |
| Contino,_Jeffrey | 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=(.54)*(x^2+y^2);x^2+y^2+z^2=( 9.4)^2 Volume of the region: 233.312; your density function: 6.8*x^2+17.6*z^4 |
| Davidson,_Mario | 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=(.93)*(x^2+y^2);x^2+y^2+z^2=( 6.1)^2 Volume of the region: 57.624; your density function: 6.9*x^4*z^2+2.5*z^4 |
| Deluca,_Brett | 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=(1.97)*(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 |
| Dodd,_Taran | 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=(1.72)*(x^2+y^2);x^2+y^2+z^2=( 3.8)^2 Volume of the region: 12.229; your density function: 14.9*x^4+7.9*y^2*z^2 |
| Dutko,_Dakota | 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=(.95)*(x^2+y^2);x^2+y^2+z^2=( 5.1)^2 Volume of the region: 38.862; your density function: 10.1*x^4*z^2+10.0*y^4*z^4 |
| Fong,_Shawn | 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=(1.13)*(x^2+y^2);x^2+y^2+z^2=( 9.2)^2 Volume of the region: 112.176; your density function: 15.5*x^2*z^2+16.7*y^2*z^2 |
| Ginter,_Kyle | 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=(.66)*(x^2+y^2);x^2+y^2+z^2=( 3.3)^2 Volume of the region: 20.801; your density function: 5.9*z^2+2.3*y^2*z^2 |
| Givas,_Dimitrios | 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=(.86)*(x^2+y^2);x^2+y^2+z^2=( 6.0)^2 Volume of the region: 59.779; your density function: 11.6*x^4+18.2*y^4 |
| Goyal,_Ainesh | 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=(1.13)*(x^2+y^2);x^2+y^2+z^2=( 8.3)^2 Volume of the region: 90.836; your density function: 16.4*x^2*z^4+16.5*y^2 |
| Hacker,_Gideon | 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=(1.72)*(x^2+y^2);x^2+y^2+z^2=( 4.8)^2 Volume of the region: 19.817; your density function: 11.6*x^4+4.9*y^4 |
| Hamani,_Iddo | 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=(1.55)*(x^2+y^2);x^2+y^2+z^2=( 8.0)^2 Volume of the region: 62.313; your density function: 12.7*x^4*z^4+5.7*y^4*z^2 |
| Hathi,_Aakash | 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=(1.57)*(x^2+y^2);x^2+y^2+z^2=( 3.8)^2 Volume of the region: 13.302; your density function: 3.7*x^4+11.2*y^2*z^2 |
| Hayes,_Thomas | 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=(1.71)*(x^2+y^2);x^2+y^2+z^2=( 4.0)^2 Volume of the region: 13.674; your density function: 6.9*x^2*z^4+5.7*y^4*z^2 |
| Huck,_Christopher | 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=(1.36)*(x^2+y^2);x^2+y^2+z^2=( 2.7)^2 Volume of the region: 7.372; your density function: 12.8*x^4*z^4+12.1*y^4*z^4 |
| Iacobucci,_Lauren | 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=(.98)*(x^2+y^2);x^2+y^2+z^2=( 7.9)^2 Volume of the region: 93.845; your density function: 3.2*x^4+12.7*y^4*z^4 |
| Ieropoli,_Robert | 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=(.68)*(x^2+y^2);x^2+y^2+z^2=( 7.0)^2 Volume of the region: 102.100; your density function: 14.1*x^4*z^2+11.5*y^2*z^4 |
| Jho,_Cindy | 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=(1.20)*(x^2+y^2);x^2+y^2+z^2=( 4.1)^2 Volume of the region: 19.914; your density function: 3.0*x^2*z^4+9.2*z^4 |
| Kahyaoglu,_Mehdi | 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=(.87)*(x^2+y^2);x^2+y^2+z^2=( 4.0)^2 Volume of the region: 25.114; your density function: 14.9*x^2*z^4+16.3*y^2*z^4 |
| Kanis,_Matthew | 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=(1.46)*(x^2+y^2);x^2+y^2+z^2=( 9.7)^2 Volume of the region: 97.739; your density function: 3.2*x^4+3.5*y^2*z^2 |
| Kantor,_Elizabeth | 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=(.72)*(x^2+y^2);x^2+y^2+z^2=( 7.2)^2 Volume of the region: 102.865; your density function: 17.0*x^4+6.2*y^4*z^4 |
| Keenan,_James | 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=(1.74)*(x^2+y^2);x^2+y^2+z^2=( 10.0)^2 Volume of the region: 87.731; your density function: 12.2*x^4+16.1*y^4*z^4 |
| Kelly,_Sean | 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=(1.04)*(x^2+y^2);x^2+y^2+z^2=( 8.1)^2 Volume of the region: 93.442; your density function: 3.0*x^4+17.0 |
| Kim,_Se-Hee | 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=(.56)*(x^2+y^2);x^2+y^2+z^2=( 6.8)^2 Volume of the region: 114.090; your density function: 14.1*z^4+19.7*y^4*z^2 |
| Kirk,_Thomas | 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=(1.61)*(x^2+y^2);x^2+y^2+z^2=( 3.0)^2 Volume of the region: 7.932; your density function: 19.5*x^4*z^4+4.0*y^2 |
| Klinchik,_Christopher | 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=(1.80)*(x^2+y^2);x^2+y^2+z^2=( 7.6)^2 Volume of the region: 48.607; your density function: 6.2*x^2*z^4+2.0*z^2 |
| Krichilsky,_Marc | 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=(.83)*(x^2+y^2);x^2+y^2+z^2=( 6.6)^2 Volume of the region: 75.356; your density function: 2.0*z^4+8.1*y^4 |
| Lam,_Khang | 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=(.98)*(x^2+y^2);x^2+y^2+z^2=( 4.2)^2 Volume of the region: 25.105; your density function: 18.7*x^4+5.7*y^2*z^2 |
| Lavalle,_Kendall | 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=(1.19)*(x^2+y^2);x^2+y^2+z^2=( 5.0)^2 Volume of the region: 30.377; your density function: 15.8+2.0*y^4*z^4 |
| Lee,_Daniel | 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=(1.55)*(x^2+y^2);x^2+y^2+z^2=( 8.6)^2 Volume of the region: 72.210; your density function: 13.4*z^4+15.6*y^2*z^2 |
| Lee,_Ju_Hyon | 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=(1.13)*(x^2+y^2);x^2+y^2+z^2=( 5.7)^2 Volume of the region: 41.834; your density function: 10.6*x^4*z^2+12.9*y^2*z^2 |
| Lesko,_Dylan | 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=(.75)*(x^2+y^2);x^2+y^2+z^2=( 2.2)^2 Volume of the region: 7.616; your density function: 6.3*x^2*z^4+19.0*y^2 |
| Li,_Tien-Hsueh | 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=(1.56)*(x^2+y^2);x^2+y^2+z^2=( 8.1)^2 Volume of the region: 63.518; your density function: 19.1*x^4*z^2+19.0*y^4*z^2 |
| Lim,_Kevin | 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=(1.59)*(x^2+y^2);x^2+y^2+z^2=( 2.4)^2 Volume of the region: 5.007; your density function: 4.5*x^4*z^2+19.6*y^4 |
| Lu,_Yanglong | 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=(1.76)*(x^2+y^2);x^2+y^2+z^2=( 6.0)^2 Volume of the region: 30.656; your density function: 7.0*x^4*z^4+17.3*y^2*z^2 |
| Lurski,_Alexander | 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=(.90)*(x^2+y^2);x^2+y^2+z^2=( 2.0)^2 Volume of the region: 5.364; your density function: 15.6*x^2*z^2+17.2*y^4*z^4 |
| Lyle,_Zoe | 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=(.58)*(x^2+y^2);x^2+y^2+z^2=( 3.3)^2 Volume of the region: 23.000; your density function: 12.8*x^2*z^2+9.8*y^2 |
| Marrs,_Robert | 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=(1.40)*(x^2+y^2);x^2+y^2+z^2=( 8.5)^2 Volume of the region: 77.752; your density function: 13.2*x^2+5.4*z^4 |
| Monaco,_Marc | 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=(.69)*(x^2+y^2);x^2+y^2+z^2=( 9.1)^2 Volume of the region: 174.280; your density function: 13.9*z^4+8.5*y^4*z^4 |
| Moody,_Sarah | 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=(.59)*(x^2+y^2);x^2+y^2+z^2=( 9.1)^2 Volume of the region: 201.169; your density function: 10.2*x^4+16.0*z^2 |
| Muir,_Patrick | Boundaries of two dimensional region: y=5.20*x+142.8 and y= 19.2*x^4-10.4*x^3+36.6*x^2+37.2*x+10.5 Area of the region: 263.812 Boundaries of three dimensional region: z=(1.86)*(x^2+y^2);x^2+y^2+z^2=( 8.5)^2 Volume of the region: 59.127; your density function: 6.6*x^2+13.0*z^4 |
| Ogungbile,_Samson | Boundaries of two dimensional region: y=3.65*x+139.4 and y= 19.8*x^4+17.0*x^3+15.2*x+8.5 Area of the region: 361.489 Boundaries of three dimensional region: z=(.87)*(x^2+y^2);x^2+y^2+z^2=( 6.3)^2 Volume of the region: 65.508; your density function: 3.9*x^2*z^4+15.4 |
| Oh,_Joon_Hwan | Boundaries of two dimensional region: y=6.45*x+108.8 and y= 2.1*x^4+26.6*x^3-14.9*x+9.8 Area of the region: 33920.109 Boundaries of three dimensional region: z=(1.71)*(x^2+y^2);x^2+y^2+z^2=( 9.6)^2 Volume of the region: 82.131; your density function: 13.1*x^2*z^2+16.4 |
| Ostrager,_Ryan | Boundaries of two dimensional region: y=6.10*x+62.9 and y= 8.4*x^4-9.2*x^3-26.4*x+2.3 Area of the region: 222.815 Boundaries of three dimensional region: z=(1.83)*(x^2+y^2);x^2+y^2+z^2=( 1.9)^2 Volume of the region: 2.694; your density function: 13.4*x^4+9.4*z^4 |
| Pacheco,_Paul | Boundaries of two dimensional region: y=4.10*x+49.3 and y= 16.9*x^4-62.0*x^2+7.9 Area of the region: 281.335 Boundaries of three dimensional region: z=(1.27)*(x^2+y^2);x^2+y^2+z^2=( 5.6)^2 Volume of the region: 36.185; your density function: 5.8*x^4+16.1*y^4*z^2 |
| Paoletti,_Matthew | Boundaries of two dimensional region: y=9.85*x+44.2 and y= 6.2*x^4-28.8*x^2-28.0*x+5.3 Area of the region: 296.048 Boundaries of three dimensional region: z=(1.22)*(x^2+y^2);x^2+y^2+z^2=( 7.2)^2 Volume of the region: 63.088; your density function: 14.7*x^2*z^2+11.1*z^2 |
| Patel,_Nirali | Boundaries of two dimensional region: y=6.25*x+44.2 and y= 10.2*x^4+40.0*x^2+11.3 Area of the region: 38.063 Boundaries of three dimensional region: z=(.98)*(x^2+y^2);x^2+y^2+z^2=( 7.6)^2 Volume of the region: 86.637; your density function: 16.8*x^2*z^4+4.9*y^4*z^4 |
| Patel,_Ronak | Boundaries of two dimensional region: y=7.50*x+81.6 and y= 9.4*x^4+17.5*x^3+15.0 Area of the region: 208.571 Boundaries of three dimensional region: z=(1.28)*(x^2+y^2);x^2+y^2+z^2=( 3.9)^2 Volume of the region: 16.916; your density function: 5.4*x^2+8.3*z^4 |
| Perez-Vega,_Kianna | Boundaries of two dimensional region: y=6.20*x+74.8 and y= 15.3*x^4+6.5*x^3-17.6*x^2+5.8 Area of the region: 207.389 Boundaries of three dimensional region: z=(1.43)*(x^2+y^2);x^2+y^2+z^2=( 9.2)^2 Volume of the region: 89.528; your density function: 16.8*x^4*z^2+2.1*y^2*z^2 |
| Peters,_Matthew | Boundaries of two dimensional region: y=7.60*x+146.2 and y= 14.5*x^4+18.9*x^3+56.8*x^2+4.6 Area of the region: 267.678 Boundaries of three dimensional region: z=(1.46)*(x^2+y^2);x^2+y^2+z^2=( 4.4)^2 Volume of the region: 19.290; your density function: 2.3*x^2+16.0*y^4*z^2 |
| Peterson,_Stephen | Boundaries of two dimensional region: y=7.25*x+57.8 and y= 9.6*x^4-17.4*x^3+33.2*x^2+35.8*x+14.8 Area of the region: 61.270 Boundaries of three dimensional region: z=(1.76)*(x^2+y^2);x^2+y^2+z^2=( 8.0)^2 Volume of the region: 55.139; your density function: 5.2*x^4+4.7*y^4 |
| Pyshnik,_Elizabeth | Boundaries of two dimensional region: y=5.90*x+64.6 and y= 10.8*x^4+16.6*x^3-14.0*x^2+14.8 Area of the region: 193.817 Boundaries of three dimensional region: z=(.78)*(x^2+y^2);x^2+y^2+z^2=( 3.7)^2 Volume of the region: 23.309; your density function: 5.5*x^4*z^2+13.9*y^2*z^2 |
| Ranganath,_Vani | Boundaries of two dimensional region: y=9.15*x+57.8 and y= 19.9*x^4-15.2*x^3+4.5*x+17.0 Area of the region: 86.154 Boundaries of three dimensional region: z=(.82)*(x^2+y^2);x^2+y^2+z^2=( 4.2)^2 Volume of the region: 29.335; your density function: 2.0*x^2*z^2+16.0*y^4*z^4 |
| Samalo,_Mario | Boundaries of two dimensional region: y=4.50*x+115.6 and y= 10.6*x^4-2.1*x^3-72.8*x^2+9.8*x+3.5 Area of the region: 967.264 Boundaries of three dimensional region: z=(.77)*(x^2+y^2);x^2+y^2+z^2=( 9.9)^2 Volume of the region: 187.385; your density function: 11.6*x^4+11.0*z^4 |
| Saroya,_Manpreet | Boundaries of two dimensional region: y=8.65*x+79.9 and y= 15.7*x^4-6.1*x^3-29.2*x^2+2.8*x+14.7 Area of the region: 237.810 Boundaries of three dimensional region: z=(1.43)*(x^2+y^2);x^2+y^2+z^2=( 4.4)^2 Volume of the region: 19.663; your density function: 3.4*x^2*z^2+4.5*y^4*z^2 |
| Schultz,_Robert | Boundaries of two dimensional region: y=4.90*x+66.3 and y= 9.4*x^4+2.7*x^3+78.0*x^2+11.6 Area of the region: 59.714 Boundaries of three dimensional region: z=(1.12)*(x^2+y^2);x^2+y^2+z^2=( 6.2)^2 Volume of the region: 50.211; your density function: 17.7*x^4*z^2+3.0*y^4 |
| Shaik,_Sana | Boundaries of two dimensional region: y=2.50*x+35.7 and y= 5.8*x^4+32.2*x^3+6.2 Area of the region: 1676.528 Boundaries of three dimensional region: z=(.61)*(x^2+y^2);x^2+y^2+z^2=( 2.7)^2 Volume of the region: 14.097; your density function: 4.7*x^4+3.8*y^4*z^4 |
| Sheng,_Christopher | Boundaries of two dimensional region: y=3.15*x+51.0 and y= 11.9*x^4-16.7*x+7.8 Area of the region: 101.367 Boundaries of three dimensional region: z=(1.35)*(x^2+y^2);x^2+y^2+z^2=( 7.6)^2 Volume of the region: 64.036; your density function: 19.6*x^4*z^4+17.9*y^2*z^2 |
| Skriloff,_Michael | Boundaries of two dimensional region: y=9.55*x+115.6 and y= 15.3*x^4+7.4*x^3+4.4*x^2-15.3*x+11.1 Area of the region: 258.832 Boundaries of three dimensional region: z=(1.40)*(x^2+y^2);x^2+y^2+z^2=( 9.6)^2 Volume of the region: 99.651; your density function: 12.1+15.9*y^4 |
| Smith,_Gregory | Boundaries of two dimensional region: y=7.05*x+103.7 and y= 7.0*x^4-16.4*x^3-15.2*x^2+15.2 Area of the region: 564.402 Boundaries of three dimensional region: z=(1.11)*(x^2+y^2);x^2+y^2+z^2=( 6.0)^2 Volume of the region: 47.306; your density function: 16.4*x^4+14.4*z^4 |
| Staron,_Monique | Boundaries of two dimensional region: y=4.55*x+130.9 and y= 2.2*x^4-13.7*x^3+3.5 Area of the region: 2111.177 Boundaries of three dimensional region: z=(1.11)*(x^2+y^2);x^2+y^2+z^2=( 9.5)^2 Volume of the region: 121.848; your density function: 18.4*z^4+10.0*y^4*z^4 |
| Syzonenko,_Alexander | Boundaries of two dimensional region: y=3.25*x+142.8 and y= 18.9*x^4+4.3*x^3-7.0*x^2+8.1 Area of the region: 374.279 Boundaries of three dimensional region: z=(1.02)*(x^2+y^2);x^2+y^2+z^2=( 3.1)^2 Volume of the region: 12.691; your density function: 4.0*x^2*z^2+8.8*y^2*z^4 |
| Taylor,_Ryan | Boundaries of two dimensional region: y=3.45*x+81.6 and y= 16.2*x^4+8.4*x^3+29.2*x^2-4.6*x+19.4 Area of the region: 100.610 Boundaries of three dimensional region: z=(.57)*(x^2+y^2);x^2+y^2+z^2=( 5.0)^2 Volume of the region: 58.129; your density function: 10.5*x^4*z^4+6.1*y^2 |
| Titus,_Kevin | Boundaries of two dimensional region: y=6.35*x+59.5 and y= 17.6*x^4-34.8*x+11.8 Area of the region: 116.279 Boundaries of three dimensional region: z=(.92)*(x^2+y^2);x^2+y^2+z^2=( 1.9)^2 Volume of the region: 4.701; your density function: 16.4*x^4*z^2+6.0*y^2 |
| Triscari,_Salvatore | Boundaries of two dimensional region: y=9.35*x+147.9 and y= 3.5*x^4+16.3*x^3-20.0*x^2+17.5 Area of the region: 2166.420 Boundaries of three dimensional region: z=(.93)*(x^2+y^2);x^2+y^2+z^2=( 5.9)^2 Volume of the region: 53.752; your density function: 15.7*x^2*z^4+3.7*y^4*z^4 |
| Trivedi,_Maalav | Boundaries of two dimensional region: y=3.60*x+45.9 and y= 18.2*x^4+68.4*x^2-33.6*x+18.6 Area of the region: 27.479 Boundaries of three dimensional region: z=(1.24)*(x^2+y^2);x^2+y^2+z^2=( 6.2)^2 Volume of the region: 45.662; your density function: 13.9*x^4*z^2+18.7*z^4 |
| Underwood,_Michael | Boundaries of two dimensional region: y=6.75*x+81.6 and y= 8.8*x^4-11.9*x^3+2.3 Area of the region: 253.857 Boundaries of three dimensional region: z=(.85)*(x^2+y^2);x^2+y^2+z^2=( 4.9)^2 Volume of the region: 39.451; your density function: 5.8*z^4+3.4*y^2*z^2 |
| Valentin,_Liana | Boundaries of two dimensional region: y=9.70*x+112.2 and y= 5.1*x^4-3.8*x+18.2 Area of the region: 315.934 Boundaries of three dimensional region: z=(.98)*(x^2+y^2);x^2+y^2+z^2=( 3.7)^2 Volume of the region: 19.181; your density function: 13.7+7.6*y^2*z^4 |
| Walmsley,_William | Boundaries of two dimensional region: y=4.10*x+47.6 and y= 3.9*x^4+33.0*x^3-60.8*x^2+12.2*x+8.5 Area of the region: 25641.577 Boundaries of three dimensional region: z=(1.80)*(x^2+y^2);x^2+y^2+z^2=( 6.9)^2 Volume of the region: 39.919; your density function: 11.0*z^4+7.6*y^4*z^4 |
| Wang,_Eric | Boundaries of two dimensional region: y=6.10*x+119.0 and y= 8.8*x^4+6.3*x^3+9.3*x+5.7 Area of the region: 353.711 Boundaries of three dimensional region: z=(1.46)*(x^2+y^2);x^2+y^2+z^2=( 5.6)^2 Volume of the region: 31.759; your density function: 17.9*x^2+9.2 |
| Ward,_Ryan | Boundaries of two dimensional region: y=7.45*x+73.1 and y= 6.8*x^4-18.3*x^3+10.2 Area of the region: 321.450 Boundaries of three dimensional region: z=(.70)*(x^2+y^2);x^2+y^2+z^2=( 5.7)^2 Volume of the region: 64.499; your density function: 4.7*x^2+4.5*z^2 |
| Williams,_Barry | Boundaries of two dimensional region: y=8.35*x+144.5 and y= 2.5*x^4-4.2*x^3+12.7 Area of the region: 629.360 Boundaries of three dimensional region: z=(1.11)*(x^2+y^2);x^2+y^2+z^2=( 4.4)^2 Volume of the region: 24.776; your density function: 8.6*x^4*z^4+6.6*z^2 |
| Wos,_Damian | Boundaries of two dimensional region: y=7.30*x+115.6 and y= 16.0*x^4+7.0*x^3+14.6*x^2-4.2*x+15.8 Area of the region: 218.821 Boundaries of three dimensional region: z=(1.17)*(x^2+y^2);x^2+y^2+z^2=( 9.4)^2 Volume of the region: 113.396; your density function: 6.4*x^4*z^4+17.4 |
| Xian,_Weiran | Boundaries of two dimensional region: y=3.10*x+88.4 and y= 16.3*x^4+19.8*x^3+10.4*x+11.9 Area of the region: 210.885 Boundaries of three dimensional region: z=(1.48)*(x^2+y^2);x^2+y^2+z^2=( 1.7)^2 Volume of the region: 2.533; your density function: 18.3*x^4*z^4+12.5*y^4*z^2 |
| Zhang,_Xiaoyue | Boundaries of two dimensional region: y=7.25*x+34.0 and y= 14.5*x^4+29.2*x^3-61.6*x^2+23.4*x+19.1 Area of the region: 628.436 Boundaries of three dimensional region: z=(1.02)*(x^2+y^2);x^2+y^2+z^2=( 2.4)^2 Volume of the region: 7.287; your density function: 10.4*x^2+3.9*y^4 |