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2. Suppose a wire three feet log is to be cut into two pieces, with each piece to be formed into a square. Find the size of each piece to maximiz the area of the two squares.

2. Suppose a wire three feet log is to be cut into two pieces, with each piece to be formed into a square. Find the size of each piece to maximiz the area of the two squares.

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 34A
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Solve the following problems. Show your complete solution. 1. A two-pen corral is to be build. The outline of the coral forms two identical adjoining rectangular regions. That is 120 feet of fencing available. Find the maximum enclosed area and the dimensions of the corresponding enclosure. 2. Suppose a wire three feet log is to be cut into two pieces, with each piece to be formed into a square. Find the size of each piece to maximize the area of the two squares. 3. Out of frustration, Maxine throws a stone into a river. This caused ripples in the form of concentric circles. The radius of the outer ripple increases constantly at 2 feet per second. At what rate is the total area of the disturbed water changing when the radius is 5 feet?
Transcribed Image Text:Solve the following problems. Show your complete solution. 1. A two-pen corral is to be build. The outline of the coral forms two identical adjoining rectangular regions. That is 120 feet of fencing available. Find the maximum enclosed area and the dimensions of the corresponding enclosure. 2. Suppose a wire three feet log is to be cut into two pieces, with each piece to be formed into a square. Find the size of each piece to maximize the area of the two squares. 3. Out of frustration, Maxine throws a stone into a river. This caused ripples in the form of concentric circles. The radius of the outer ripple increases constantly at 2 feet per second. At what rate is the total area of the disturbed water changing when the radius is 5 feet?
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