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Solve the problem. A homeowner wants to make an elliptical rug from a 30-foot by 10-foot rectangular piece of carpeting. a. What lengths of the major and minor axes would maximize the area of the new rug? b. Write an equation of the ellipse with maximum area. Use a coordinate system with the origin at the center of the rug and horizontal major axis. Select one: O a. a. Major axis: 30 feet. Minor axis: 10 feet x² y² + 900 100 O b. a. Major axis: 32 feet. Minor axis: 16 feet b. b. b. 256 64 O c. a. Major axis: 30 feet. Minor axis: 10 feet x² + 225 25 O d. a. Major axis: 15 feet. Minor axis: 5 feet b. = 1 225 = 1 + = 1 + = 1

Solve the problem. A homeowner wants to make an elliptical rug from a 30-foot by 10-foot rectangular piece of carpeting. a. What lengths of the major and minor axes would maximize the area of the new rug? b. Write an equation of the ellipse with maximum area. Use a coordinate system with the origin at the center of the rug and horizontal major axis. Select one: O a. a. Major axis: 30 feet. Minor axis: 10 feet x² y² + 900 100 O b. a. Major axis: 32 feet. Minor axis: 16 feet b. b. b. 256 64 O c. a. Major axis: 30 feet. Minor axis: 10 feet x² + 225 25 O d. a. Major axis: 15 feet. Minor axis: 5 feet b. = 1 225 = 1 + = 1 + = 1

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 the problem. A homeowner wants to make an elliptical rug from a 30-foot by 10-foot rectangular piece of carpeting. a. What lengths of the major and minor axes would maximize the area of the new rug? b. Write an equation of the ellipse with maximum area. Use a coordinate system with the origin at the center of the rug and horizontal major axis. Select one: O a. a. Major axis: 30 feet. Minor axis: 10 feet x² y² + 900 100 O b. a. Major axis: 32 feet. Minor axis: 16 feet x² y² b. + 256 64 O c. a. Major axis: 30 feet. Minor axis: 10 feet 2 x² y² b. 1 + 225 25 O d. a. Major axis: 15 feet. Minor axis: 5 feet x² y² b. 225 25 b. + = = 1 1 = 1
Transcribed Image Text:Solve the problem. A homeowner wants to make an elliptical rug from a 30-foot by 10-foot rectangular piece of carpeting. a. What lengths of the major and minor axes would maximize the area of the new rug? b. Write an equation of the ellipse with maximum area. Use a coordinate system with the origin at the center of the rug and horizontal major axis. Select one: O a. a. Major axis: 30 feet. Minor axis: 10 feet x² y² + 900 100 O b. a. Major axis: 32 feet. Minor axis: 16 feet x² y² b. + 256 64 O c. a. Major axis: 30 feet. Minor axis: 10 feet 2 x² y² b. 1 + 225 25 O d. a. Major axis: 15 feet. Minor axis: 5 feet x² y² b. 225 25 b. + = = 1 1 = 1
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