taylordalton93
16.06.2021 •
Mathematics
Cho hệ các vector
U = {(1, 2, 1);(0, -1,0);(2, 3, 2);(1, 0, 1)}
a. Tìm số chiều và một cơ sở W của không gian con sinh bởi hệ vector U .
b. Tìm tham số k để u = (2, 3, k^2 + 1) là một tổ hợp tuyến tính của W , và suy ra [u] .
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Ответ:
At minimum cost, Length = 8 foot, Height = 18 foot
Step-by-step explanation:
Volume of the closed rectangular shipping crate =
The crate has a square base from the given statement.
Therefore: Volume = Square Base Area X Height =
=1152
Total Surface Area of a Cuboid =2(lb+lh+bh)
Since we have a square base
Total Surface Area
The Total Surface Area of the Crate
= Area of Top + Area of Bottom + Area of Sides
The material for the top and sides costs $2 per square foot and the material for the bottom costs $7 per square foot.
Therefore, Cost of the Material for the Crate
Recall earlier that we derived:
Substituting into the formula for the Total Cost
The minimum costs for the material occurs at the point where the derivative equals zero.
Recall:
The dimensions that will minimize the cost of the box are: Length = 8 foot, Height = 18 foot