A piece of wire 16 ft. long is cut into two pieces. One piece is made into a circle and the other piece is made into a square. Let the piece of length x be formed into a circle. Choose the answer that best indicates the wire lengths that would yield a maximum area. OA. The wire should not be cut; all 16 feet should be used for the circle. OB. The wire should not be cut, all 16 feet should be used for the square. OC. The wire should be cut so that feet are used for the circle and x Allow x to equal 0 or 16, so all the wire may be used for the square or for the circle: Where should the cut be made to make the sum of the areas maximum? (Hint: Remember to use the endpoints of a domain when looking for absolute maxima and minima.) feet are used for the square. (Round to the nearest thousandth as needed.) 16
A piece of wire 16 ft. long is cut into two pieces. One piece is made into a circle and the other piece is made into a square. Let the piece of length x be formed into a circle. Choose the answer that best indicates the wire lengths that would yield a maximum area. OA. The wire should not be cut; all 16 feet should be used for the circle. OB. The wire should not be cut, all 16 feet should be used for the square. OC. The wire should be cut so that feet are used for the circle and x Allow x to equal 0 or 16, so all the wire may be used for the square or for the circle: Where should the cut be made to make the sum of the areas maximum? (Hint: Remember to use the endpoints of a domain when looking for absolute maxima and minima.) feet are used for the square. (Round to the nearest thousandth as needed.) 16
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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Question
Transcribed Image Text:A piece of wire 16 ft. long is cut into two pieces. One piece is made into a circle and the other piece is made into a square. Let the piece of length x be formed
into a circle.
Choose the answer that best indicates the wire lengths that would yield a maximum area.
OA. The wire should not be cut; all 16 feet should be used for the circle.
OB. The wire should not be cut, all 16 feet should be used for the square.
OC. The wire should be cut so that
feet are used for the circle and
x
Allow x to equal 0 or 16, so all the wire may be used for the square or for the circle: Where should the cut be made to make the sum of the areas maximum? (Hint: Remember to use the endpoints of
a domain when looking for absolute maxima and minima.)
feet are used for the square. (Round to the nearest thousandth as needed.)
16
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