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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 a. 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 a. Group 1- The length of string is 48 cm. Group 5 The length of string is 60 cm.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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PROBLEM 2: GROUP 1: QUANTITY TO BE MAXIMIZED OR MINIMIZED
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.
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.
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