4. A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the remaining will be used to form an equilateral triangle. (a) Find an expression for the sum of the areas of the two figures in terms of x. (b) What is the ratio of the shorter piece to the longer piece if the sum of the areas is a minimum?
4. A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the remaining will be used to form an equilateral triangle. (a) Find an expression for the sum of the areas of the two figures in terms of x. (b) What is the ratio of the shorter piece to the longer piece if the sum of the areas is a minimum?
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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![4. A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the
remaining will be used to form an equilateral triangle.
(a) Find an expression for the sum of the areas of the two figures in terms of x.
(b) What is the ratio of the shorter piece to the longer piece if the sum of the areas is a
minimum?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0223b94b-473a-4e5c-9a8d-3aa2ec38a99b%2Fa658b624-9f03-454d-a5be-18bc293b82db%2Fe9kf4v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the
remaining will be used to form an equilateral triangle.
(a) Find an expression for the sum of the areas of the two figures in terms of x.
(b) What is the ratio of the shorter piece to the longer piece if the sum of the areas is a
minimum?
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