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A piece of wire 12 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. 12-x Allow x to equal 0 or 12, 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) Choose the answer that best indicates the wire lengths that would yield a maximum area OA. The wire should not be cut; all 12 feet should be used for the square. OB. The wire should not be cut; all 12 feet should be used for the circle. OC. The wire should be cut so that feet are used for the circle and feet are used for the square. (Round to the nearest thousandth as needed.)

A piece of wire 12 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. 12-x Allow x to equal 0 or 12, 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) Choose the answer that best indicates the wire lengths that would yield a maximum area OA. The wire should not be cut; all 12 feet should be used for the square. OB. The wire should not be cut; all 12 feet should be used for the circle. OC. The wire should be cut so that feet are used for the circle and feet are used for the square. (Round to the nearest thousandth as needed.)

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 38A: Three pieces, each in the shape of a sector, are cut from the rectangular sheet of steel shown. How...
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← A piece of wire 12 ft. long is cut into two pieces. One piece made into a circle and the other piece is made into a square. Let the piece of length x be formed into a circle. Allow x to equal 0 or 12, so all the wire may be used for the square or for the circle. Where should the cut be made. Choose the answer that best indicates the wire lengths that would yield a maximum area. OA. The wire should not be cut; all 12 feet should be used for the square. OB. The wire should not be cut; all 12 feet should be used for the circle. OC. The wire should be cut so that 12-x 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 circle and feet are used for the square. (Round to the nearest thousandth as needed.)
Transcribed Image Text:← A piece of wire 12 ft. long is cut into two pieces. One piece made into a circle and the other piece is made into a square. Let the piece of length x be formed into a circle. Allow x to equal 0 or 12, so all the wire may be used for the square or for the circle. Where should the cut be made. Choose the answer that best indicates the wire lengths that would yield a maximum area. OA. The wire should not be cut; all 12 feet should be used for the square. OB. The wire should not be cut; all 12 feet should be used for the circle. OC. The wire should be cut so that 12-x 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 circle and feet are used for the square. (Round to the nearest thousandth as needed.)
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