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 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 n. || 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
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(Grp3) show all complete solution please based it from the second picture thank you!
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
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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