For instructions, see here.
Below is the individualized data you will use for your own assignment.
Background for this lab can be found on the main 251 webpage (linked here).
| Babjak_Thomas | 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=(.75)*(x^2+y^2);x^2+y^2+z^2=( 4.1)^2 Volume of the region: 30.065; your density function: 10.2*x^4*z^4+9.1*y^4*z^4 |
| Baruh_Yosef | 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=(1.49)*(x^2+y^2);x^2+y^2+z^2=( 6.9)^2 Volume of the region: 47.828; your density function: 19.5*x^2*z^2+10.5*y^4*z^2 |
| Chen_Jennifer | 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=(1.18)*(x^2+y^2);x^2+y^2+z^2=( 9.7)^2 Volume of the region: 119.936; your density function: 13.6*x^4*z^4+6.0 |
| Ding_Tianli | 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=(.93)*(x^2+y^2);x^2+y^2+z^2=( 6.9)^2 Volume of the region: 74.465; your density function: 19.3*x^4+10.9*y^4*z^2 |
| Goldman_Jonathan | 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=(1.38)*(x^2+y^2);x^2+y^2+z^2=( 7.4)^2 Volume of the region: 59.377; your density function: 12.5*z^2+19.4*y^2*z^2 |
| Greenfield_Yosef | 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=(.65)*(x^2+y^2);x^2+y^2+z^2=( 6.4)^2 Volume of the region: 87.998; your density function: 10.7*x^2*z^2+7.4*y^4 |
| Hochsztein_Hillel | 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=(1.54)*(x^2+y^2);x^2+y^2+z^2=( 7.4)^2 Volume of the region: 53.475; your density function: 12.4*x^4*z^4+6.5*y^4*z^4 |
| Jeon_William | 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=(1.71)*(x^2+y^2);x^2+y^2+z^2=( 8.7)^2 Volume of the region: 67.243; your density function: 8.1*x^4*z^2+4.4*y^4*z^2 |
| Kanj_Roweena | 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=(.93)*(x^2+y^2);x^2+y^2+z^2=( 6.6)^2 Volume of the region: 67.896; your density function: 14.3*x^2+15.6*y^2*z^2 |
| Kovacevich_Justin | 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=(1.04)*(x^2+y^2);x^2+y^2+z^2=( 5.5)^2 Volume of the region: 41.920; your density function: 11.6*x^4*z^2+19.6*z^2 |
| Krosuri_Saaketh | 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=(1.45)*(x^2+y^2);x^2+y^2+z^2=( 1.7)^2 Volume of the region: 2.575; your density function: 3.8*x^2*z^2+10.4*y^2*z^4 |
| Livernois_Alexander | 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=(.92)*(x^2+y^2);x^2+y^2+z^2=( 3.8)^2 Volume of the region: 21.447; your density function: 11.7*x^4*z^4+19.0*y^2*z^4 |
| Looney_Edward | 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=(.63)*(x^2+y^2);x^2+y^2+z^2=( 5.3)^2 Volume of the region: 60.538; your density function: 13.0*x^2*z^2+5.6*z^2 |
| Maceren_Lawrence | 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=(1.07)*(x^2+y^2);x^2+y^2+z^2=( 1.7)^2 Volume of the region: 3.268; your density function: 4.1+11.6*y^4*z^4 |
| McGinley_Elizabeth | 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=(1.62)*(x^2+y^2);x^2+y^2+z^2=( 5.4)^2 Volume of the region: 26.719; your density function: 3.5*x^4*z^2+13.0*y^4*z^4 |
| Paladugu_Phani | 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=(1.60)*(x^2+y^2);x^2+y^2+z^2=( 5.8)^2 Volume of the region: 31.309; your density function: 6.3+5.6*y^2 |
| Pelka_Sandra | 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=(1.48)*(x^2+y^2);x^2+y^2+z^2=( 1.7)^2 Volume of the region: 2.533; your density function: 12.6*x^2*z^4+18.8*z^2 |
| Rabolli_Charles | 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=(1.00)*(x^2+y^2);x^2+y^2+z^2=( 7.2)^2 Volume of the region: 76.030; your density function: 9.6*z^4+19.4*y^2 |
| Ruckodanov_Dmitriy | 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=(1.44)*(x^2+y^2);x^2+y^2+z^2=( 9.9)^2 Volume of the region: 103.249; your density function: 12.2*x^2*z^4+13.6*z^2 |
| Shenoy_Vineet | 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=(1.09)*(x^2+y^2);x^2+y^2+z^2=( 3.2)^2 Volume of the region: 12.833; your density function: 3.7*x^4*z^4+12.2 |
| Townsend_Haas_Nicholas | 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=(1.12)*(x^2+y^2);x^2+y^2+z^2=( 2.8)^2 Volume of the region: 9.418; your density function: 6.8*x^4*z^4+17.3*y^4 |
| Williams_Jonah | 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=(1.35)*(x^2+y^2);x^2+y^2+z^2=( 6.8)^2 Volume of the region: 50.976; your density function: 19.6*z^4+8.7*y^4*z^4 |
| Yako_Bridget | 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=(1.22)*(x^2+y^2);x^2+y^2+z^2=( 6.4)^2 Volume of the region: 49.501; your density function: 14.4*x^2+5.4 |