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Question 5 The length of a wire 200 meters long, is t into two pieces. One piece is used to form an equilateral triangle x units in length. The other piece is used to form a square. a) Show that the sides of the square are 50 -x units in length. b) Determine the area of the square in terms of x. c) Determine the value of x so that the area of the square is a maximum.

Question 5 The length of a wire 200 meters long, is t into two pieces. One piece is used to form an equilateral triangle x units in length. The other piece is used to form a square. a) Show that the sides of the square are 50 -x units in length. b) Determine the area of the square in terms of x. c) Determine the value of x so that the area of the square is a maximum.

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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Question 5 The length of a wire 200 meters long, is t into two pieces. One piece is used to form an equilateral triangle x units in length. The other piece is used to form a square. a) Show that the sides of the square are 50 -=x units in length. b) Determine the area of the square in terms of x. c) Determine the value of x so that the area of the square is a maximum.
Transcribed Image Text:Question 5 The length of a wire 200 meters long, is t into two pieces. One piece is used to form an equilateral triangle x units in length. The other piece is used to form a square. a) Show that the sides of the square are 50 -=x units in length. b) Determine the area of the square in terms of x. c) Determine the value of x so that the area of the square is a maximum.
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