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7. A box with an open top is to be constructed from a rectangular piece of cardboard 1 m long by 0.5 m wide, by cutting out a square from each corner and bending up the sides. Find the maximum volume such a box can have.

7. A box with an open top is to be constructed from a rectangular piece of cardboard 1 m long by 0.5 m wide, by cutting out a square from each corner and bending up the sides. Find the maximum volume such a box can have.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve problem 7 with explanation please. Thanks
6. A gas pipe is to be laid to connect a house on the south side of a street 50 m wide to a hub on the north side of the street, which is 100 m to the east of the house. The cost of laying the pipe along the street is $2,000/m and under the street $4,000/m. Find a point along the south side of the street for a minimum cost. 7. A box with an open top is to be constructed from a rectangular piece of cardboard 1 m long by 0.5 m wide, by cutting out a square from each corner and bending up the sides. Find the maximum volume such a box can have. x²-3x+2 /:V 2.3 12 20
Transcribed Image Text:6. A gas pipe is to be laid to connect a house on the south side of a street 50 m wide to a hub on the north side of the street, which is 100 m to the east of the house. The cost of laying the pipe along the street is $2,000/m and under the street $4,000/m. Find a point along the south side of the street for a minimum cost. 7. A box with an open top is to be constructed from a rectangular piece of cardboard 1 m long by 0.5 m wide, by cutting out a square from each corner and bending up the sides. Find the maximum volume such a box can have. x²-3x+2 /:V 2.3 12 20
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