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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Related questions
Question
![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffdc4bd04-a070-4f0a-8c81-81114a590c8c%2Fff8f5e21-2191-4532-b4e5-8ccc388c5570%2F5ft4zzb_processed.jpeg&w=3840&q=75)
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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