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11. Martha Stewart is designing a box for her cat to sleep in. It has 4 sides and a bottom but no top. The plush material for the square bottom of the box costs $18/ft2 and the material for the sides costs $12/ft2. She needs a box with a volume of 18 ft². Find the dimensions of the box that minimize the cost.

11. Martha Stewart is designing a box for her cat to sleep in. It has 4 sides and a bottom but no top. The plush material for the square bottom of the box costs $18/ft2 and the material for the sides costs $12/ft2. She needs a box with a volume of 18 ft². Find the dimensions of the box that minimize the cost.

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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11.- Martha Stewart is designing a box for her cat to sleep in. It has 4 sides and a bottom but no top. The plush material for the square bottom of the box costs $18/ft² and the material for the sides costs $12/ft². She needs a box with a volume of 18 ft2. Find the dimensions of the box that minimize the cost.
Transcribed Image Text:11.- Martha Stewart is designing a box for her cat to sleep in. It has 4 sides and a bottom but no top. The plush material for the square bottom of the box costs $18/ft² and the material for the sides costs $12/ft². She needs a box with a volume of 18 ft2. Find the dimensions of the box that minimize the cost.
10 ts) During the design phase of one of its model spacecraft, Spacez launches the Atlas 31415 rocket vertically. A camera is positioned 5000 ft from the launch pad. When the rocket is 12,000 feet above the launch pad, its velocity is 800 ft/sec. Find the necessary rate of change of the camera's angle as a function of time so that it stays focused on the rocket.
Transcribed Image Text:10 ts) During the design phase of one of its model spacecraft, Spacez launches the Atlas 31415 rocket vertically. A camera is positioned 5000 ft from the launch pad. When the rocket is 12,000 feet above the launch pad, its velocity is 800 ft/sec. Find the necessary rate of change of the camera's angle as a function of time so that it stays focused on the rocket.
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