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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 r. Group 3 – The length of string is 54 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 r. Group 3 – The length of string is 54 cm.

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter38: Achievement Review—section Three
Section: Chapter Questions
Problem 9AR: The following problems require computations with both clearance fits and interference fitsbetween...
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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 3 - The length of string is 54 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 3 - The length of string is 54 cm.
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
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