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 n. | Group 1- The length of string is 48 cm. Group 2- The length of string is 36 cm. Group 3- The length of string is 54 cm. Group 4- The length of string is 32 cm. Group 5- The length of string is 60 cm. Group 6- The length of string is 52 cm. Group 7 - The length of string is 42 cm. Group 8-The length of string is 64 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 n. | Group 1- The length of string is 48 cm. Group 2- The length of string is 36 cm. Group 3- The length of string is 54 cm. Group 4- The length of string is 32 cm. Group 5- The length of string is 60 cm. Group 6- The length of string is 52 cm. Group 7 - The length of string is 42 cm. Group 8-The length of string is 64 cm.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
(Grp8) show all complete solution please based it from the second picture thank you.
![Problem 2
(Putthe problem here and include the length of the string by referring to the table above.)
Representation, Illustration, Quantity to be Maximized or Minimized
Representation:
Illustration
Quantity to be Minimized
Setting up of Function, Differentiation, Critical Numbers, Maximum/Minimum Value
Function:
Computation of Derivative
Computation of Critical Numbers
Computation of Minimum Value
Checking using Second Derivative Test
Answer in Complete Sentence](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F68eacfe5-18b1-4b76-a70f-238e7e9d29ef%2F99ba392e-94f3-40de-af38-7090071b19f3%2Fpviepd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 2
(Putthe problem here and include the length of the string by referring to the table above.)
Representation, Illustration, Quantity to be Maximized or Minimized
Representation:
Illustration
Quantity to be Minimized
Setting up of Function, Differentiation, Critical Numbers, Maximum/Minimum Value
Function:
Computation of Derivative
Computation of Critical Numbers
Computation of Minimum Value
Checking using Second Derivative Test
Answer in Complete Sentence
![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 n. ||
Group 1- The length of string is 48 cm.
Group 2- The length of string is 36 cm.
Group 3- The length of string is 54 cm.
Group 4-The length of string is 32 cm.
Group 5- The length of string is 60 cm.
Group 6- The length of string is 52 cm.
Group 7- The length of string is 42 cm.
Group 8- The length of string is 64 cm.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F68eacfe5-18b1-4b76-a70f-238e7e9d29ef%2F99ba392e-94f3-40de-af38-7090071b19f3%2F25iyy0n_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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 n. ||
Group 1- The length of string is 48 cm.
Group 2- The length of string is 36 cm.
Group 3- The length of string is 54 cm.
Group 4-The length of string is 32 cm.
Group 5- The length of string is 60 cm.
Group 6- The length of string is 52 cm.
Group 7- The length of string is 42 cm.
Group 8- The length of string is 64 cm.
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