Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used to form an equilateral triangle and the other to form a circle. What should be the perimeter of the equilateral triangle and the circumference of the circle so that the sum of the areas is a minimum? Find the minimum sum of the areas. Express your answer in terms of t. Group 1- The length of string is 48 cm. Group 5 - The length of string is 60 cm.
Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used to form an equilateral triangle and the other to form a circle. What should be the perimeter of the equilateral triangle and the circumference of the circle so that the sum of the areas is a minimum? Find the minimum sum of the areas. Express your answer in terms of t. Group 1- The length of string is 48 cm. Group 5 - The length of string is 60 cm.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
PROBLEM 2: GROUP 1 Maximum/Minimum Value and Checking
![Solve the following problems completely and accurately.
Representation, Illustration, Quantity to be Maximized or Minimized -
Setting up of Function, Differentiation, Critical Numbers, Maximum/Minimum Value -
Checking -
Answer in Complete Sentence -
Problem 1: An open rectangular box is to be constructed by cutting square corners out of a piece of
cardboard whose dimensions are given below and folding up the flaps. What dimensions will yield a
box of maximum volume? Find the maximum volume
Group 1 The dimension is 14 cm x 12 cm.
Group 2 The dimension is 15 cm x 13 cm.
Group 3 The dimension is 16 cm x 10 cm.
Group 4 The dimension is 16 cm x 12 cm.
Group 5 - The dimension is 17 cm x 9 cm.
Group 6 The dimension is 15 cm x 11 cm.
Group 7 - The dimension is 17 cm x 11 cm.
Group 8 - The dimension is 18 cm x 10 cm.
Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used to
form an equilateral triangle and the other to form a circle. What should be the perimeter of the
equilateral triangle and the circumference of the circle so that the sum of the areas is a minimum?
Find the minimum sum of the areas. Express your answer in terms of a.
Group 1 The length of string is 48 cm.
Group 5 - The length of string is 60 cm.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d79552b-0f35-4248-8b1b-f092c422389b%2F8bc87d33-e1be-4061-bcb9-c8e981a51ecb%2Fkxv9xo4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve the following problems completely and accurately.
Representation, Illustration, Quantity to be Maximized or Minimized -
Setting up of Function, Differentiation, Critical Numbers, Maximum/Minimum Value -
Checking -
Answer in Complete Sentence -
Problem 1: An open rectangular box is to be constructed by cutting square corners out of a piece of
cardboard whose dimensions are given below and folding up the flaps. What dimensions will yield a
box of maximum volume? Find the maximum volume
Group 1 The dimension is 14 cm x 12 cm.
Group 2 The dimension is 15 cm x 13 cm.
Group 3 The dimension is 16 cm x 10 cm.
Group 4 The dimension is 16 cm x 12 cm.
Group 5 - The dimension is 17 cm x 9 cm.
Group 6 The dimension is 15 cm x 11 cm.
Group 7 - The dimension is 17 cm x 11 cm.
Group 8 - The dimension is 18 cm x 10 cm.
Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used to
form an equilateral triangle and the other to form a circle. What should be the perimeter of the
equilateral triangle and the circumference of the circle so that the sum of the areas is a minimum?
Find the minimum sum of the areas. Express your answer in terms of a.
Group 1 The length of string is 48 cm.
Group 5 - The length of string is 60 cm.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Basic Technical Mathematics](https://www.bartleby.com/isbn_cover_images/9780134437705/9780134437705_smallCoverImage.gif)
![Topology](https://www.bartleby.com/isbn_cover_images/9780134689517/9780134689517_smallCoverImage.gif)