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63. Victor Klee's Endpoint Maximum Problem Given 40 m of straight fence, your goal is to build a rectangular enclosure using 80 additional meters of fence that encompasses the greatest area. Let A(x) be the area of the enclosure, with x as in Figure 31. (a) Find the maximum value of A(x). (b) Which interval of x values is relevant to our problem? Find the maximum value of A(x) on this interval. 40 20-x 20 -x 40+x FIGURE 31

63. Victor Klee's Endpoint Maximum Problem Given 40 m of straight fence, your goal is to build a rectangular enclosure using 80 additional meters of fence that encompasses the greatest area. Let A(x) be the area of the enclosure, with x as in Figure 31. (a) Find the maximum value of A(x). (b) Which interval of x values is relevant to our problem? Find the maximum value of A(x) on this interval. 40 20-x 20 -x 40+x FIGURE 31

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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63. Victor Klee's Endpoint Maximum Problem Given 40 m of straight fence, your goal is to build a rectangular enclosure using 80 additional meters of fence that encompasses the greatest area. Let A(x) be the area of the enclosure, with x as in Figure 31. (a) Find the maximum value of A(x). (b) Which interval of x values is relevant to our problem? Find the maximum value of A(x) on this interval. 40 20-x 20 -x 40+x FIGURE 31
Transcribed Image Text:63. Victor Klee's Endpoint Maximum Problem Given 40 m of straight fence, your goal is to build a rectangular enclosure using 80 additional meters of fence that encompasses the greatest area. Let A(x) be the area of the enclosure, with x as in Figure 31. (a) Find the maximum value of A(x). (b) Which interval of x values is relevant to our problem? Find the maximum value of A(x) on this interval. 40 20-x 20 -x 40+x FIGURE 31
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