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 t. 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 t. 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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Question
PROBLEM 2: GROUP 1 Maximum/Minimum Value and Checking
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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