A piece of wire of length L is cut into two parts, one of which is bent into the shape of a square and the other into the shape of a circle. a.) How should the wire be cut so that the sum of the enclosed area is a minimum? b)How should it be cut to get the maximum enclosed areas?
A piece of wire of length L is cut into two parts, one of which is bent into the shape of a square and the other into the shape of a circle. a.) How should the wire be cut so that the sum of the enclosed area is a minimum? b)How should it be cut to get the maximum enclosed areas?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 58E
Related questions
Question
A piece of wire of length L is cut into two parts, one of which is bent into the shape of a square and the other into the shape of a circle.
a.) How should the wire be cut so that the sum of the enclosed area is a minimum?
b)How should it be cut to get the maximum enclosed areas?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
how did the operation change right after you equated dA/dL to 0
Solution
by Bartleby Expert
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,