my question application of calculus

Question

how to design a closed rectangular box of minimum cost. suppose the box is to be of the volume Vo cubic cm, and the cost of the material for the front and back sides is b dollars per square cm, c dollars per square cm for the left and right sides, and d dollars per cm square for the top and bottom sides.

1) do the mathematics to find the dimensions of the box of minimum cost.

2) Explain the ramifications of various differences in the cost of materials, i.e what happen the dimensions of the box .you might want to deal with certain cases

i)b=c=d

ii)b=c=2d

iii) b= 2c = 3d

Answer 1

1. Untuk f(x) =    dan g(x) = , carilah tiap-tiap nilai dari :
   1. (f + g) (2)
   2. (fog) (0)

 

1. Carilah semua nilai x yang memenuhi paling sedikit satu dari dua ketaksamaan.

1. 3x + 7 > 1 atau 2x + 1 <-5.
2. 3x + 7 ≤ 1 atau 2x + 1 <-8.
3. 3x + 7 ≤ 1 atau 2x + 1 >-8.

 

1. Selesaikanlah ketaksamaan-ketaksamaan berikut :

1. | x -2 | < 3| x + 7 |
2. |2x – 5  < | x + 4 |
3. 2 | 2x – 3 | < | x + 10 |
4. | 3x – 1 | < 2 | x + 6 |

 

1. Tentukan jarak antara (-2, 3) dengan  titik   tengah potongan garis yang digabungkan (-2, -2 ) dan (4, 3)