A 54 cm 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 the answer in terms of pi. Please show the full solution based on the pictures below, thank you!
A 54 cm 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 the answer in terms of pi. Please show the full solution based on the pictures below, thank you!
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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A 54 cm 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 the answer in terms of pi.
Please show the full solution based on the pictures below, thank you!
Transcribed Image Text:Checking using Second Derivative Test
Answer in Complete Sentence
Transcribed Image Text: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
O Focus
English (Philinnines)
Text Predictions: On
* Accessibility: Investigate
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