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
icon
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?
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?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL