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19. A long rectangular sheet of metal, 11 inches wide, is to be made into a rain gutter by turning up two sides so that they are perpendicular to the sheet. How many inches should be turned up to give the gutter its greatest capacity? Be sure to show the equation(s) you used and how you found the value using calculus.

19. A long rectangular sheet of metal, 11 inches wide, is to be made into a rain gutter by turning up two sides so that they are perpendicular to the sheet. How many inches should be turned up to give the gutter its greatest capacity? Be sure to show the equation(s) you used and how you found the value using calculus.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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19. A long rectangular sheet of metal, 11 inches wide, is to be made into a rain gutter by turning up two sides so that they are perpendicular to the sheet. How many inches should be turned up to give the gutter its greatest capacity? Be sure to show the equation(s) you used and how you found the value using calculus. 20. A 15 foot long ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of 2 ft/sec., how fast will the base be moving away from the wall when the top of the ladder is 11 feet above the ground?
Transcribed Image Text:19. A long rectangular sheet of metal, 11 inches wide, is to be made into a rain gutter by turning up two sides so that they are perpendicular to the sheet. How many inches should be turned up to give the gutter its greatest capacity? Be sure to show the equation(s) you used and how you found the value using calculus. 20. A 15 foot long ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of 2 ft/sec., how fast will the base be moving away from the wall when the top of the ladder is 11 feet above the ground?
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