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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.

Intermediate Algebra
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter7: Equations And Inequalities In Two Variables
Section7.1: Rectangular Coordinate System And Linear Equations
Problem 60PS
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Show all complete solutions see from the second pic. (Grp.4) including the Answer in Complete Sentence
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 (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.
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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