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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F170cb9b5-2292-4ecc-9f24-3c60291ff66d%2F4a5b0bca-9112-4c5a-b74a-36faad56cf13%2F970mftw_processed.jpeg&w=3840&q=75)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F170cb9b5-2292-4ecc-9f24-3c60291ff66d%2F4a5b0bca-9112-4c5a-b74a-36faad56cf13%2Fmro7ej_processed.jpeg&w=3840&q=75)
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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