Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Ch. 4.6 #4B Can you show me how to do this
Find the total areas of these configurations. Does it appear that there is a maximum area, A? If so, estimate it. (Ro your answer to the nearest thousand.) A = ft2 (b) Draw a diagram illustrating the general situation. Introduce notation and label the diagram with your symbols. y O Let x denote the length ef each of two sides and three dividers. Let y denote the length of the other two sides. Let x denote the length of the pemeter. Let y denote the length of the dividers. O Let y denote the length of each of two sides and three dividers. Let x denote the length of the other two sides. O Let x denote the length of the dividers. Let y denote the length of the perimeter. (c) Write an expression for the total area. A = ft2 (d) Use the given information to write an equation that relates the variables. (e) Use part (d) to write the total area as a function of x. A = ft2 (f) Finish solving the problem and compare the answer with your estimate in part (a). (Round your answer to the nearest integer.) A = ft2 APR 17 9. esc 000 F1 F3
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Transcribed Image Text:Find the total areas of these configurations. Does it appear that there is a maximum area, A? If so, estimate it. (Ro your answer to the nearest thousand.) A = ft2 (b) Draw a diagram illustrating the general situation. Introduce notation and label the diagram with your symbols. y O Let x denote the length ef each of two sides and three dividers. Let y denote the length of the other two sides. Let x denote the length of the pemeter. Let y denote the length of the dividers. O Let y denote the length of each of two sides and three dividers. Let x denote the length of the other two sides. O Let x denote the length of the dividers. Let y denote the length of the perimeter. (c) Write an expression for the total area. A = ft2 (d) Use the given information to write an equation that relates the variables. (e) Use part (d) to write the total area as a function of x. A = ft2 (f) Finish solving the problem and compare the answer with your estimate in part (a). (Round your answer to the nearest integer.) A = ft2 APR 17 9. esc 000 F1 F3
Consider the following problem: A farmer with 810 ft of fencing wants to enclose a rectangular area and then divide it into 4 pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens? (a) Draw severat diagrams illustrating the situation, some with shallow, wide pens and some with deep, narrow pens. Find the total areas of thee configurations. Does it appear that there is a maximum area, A? If so, estimate it. (Round your answer to the nearest thousand.) ft2 A = (b) Draw a diagram illustrating the general situation Introduce notation and label the diagram with your symbols. O Let x denote the length of ach of two sides and three dividers. Let y denote the length of the other two sides. O Let x denote the length of the perimeter. Lety denote the length of the dividers. O Let y denote the length of each of two sides and three dividers. Let x denote the length of the other two sides. O Let x denote the ength of the dividers. Let y denoe the length of the perimeter. (c) Write an expression for the total area. A = ft2
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Transcribed Image Text:Consider the following problem: A farmer with 810 ft of fencing wants to enclose a rectangular area and then divide it into 4 pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens? (a) Draw severat diagrams illustrating the situation, some with shallow, wide pens and some with deep, narrow pens. Find the total areas of thee configurations. Does it appear that there is a maximum area, A? If so, estimate it. (Round your answer to the nearest thousand.) ft2 A = (b) Draw a diagram illustrating the general situation Introduce notation and label the diagram with your symbols. O Let x denote the length of ach of two sides and three dividers. Let y denote the length of the other two sides. O Let x denote the length of the perimeter. Lety denote the length of the dividers. O Let y denote the length of each of two sides and three dividers. Let x denote the length of the other two sides. O Let x denote the ength of the dividers. Let y denoe the length of the perimeter. (c) Write an expression for the total area. A = ft2
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