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A square plate with sides of unit length has its center at the origin of an x-y coordinate plane; the sides are parallel to either the x- or the y- axis. A hole of radius r is removed from the plate the center of this hole is on the x-axis at a distance r from the left side of the plate. The centroid of the remaining piece has an x-coordinate equal to c. The value of r that maximizes c satisfies the equation: Tr³ – 3r + 1 = 0 a. Draw the figure and label the parts. b. Find the real root r of the cubic equation by the SECANT METHOD. Use e = 0.0001 and starting values 0.3500 and 0.4500.

A square plate with sides of unit length has its center at the origin of an x-y coordinate plane; the sides are parallel to either the x- or the y- axis. A hole of radius r is removed from the plate the center of this hole is on the x-axis at a distance r from the left side of the plate. The centroid of the remaining piece has an x-coordinate equal to c. The value of r that maximizes c satisfies the equation: Tr³ – 3r + 1 = 0 a. Draw the figure and label the parts. b. Find the real root r of the cubic equation by the SECANT METHOD. Use e = 0.0001 and starting values 0.3500 and 0.4500.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. A square plate with sides of unit length has its center at the origin of an x-y coordinate plane; the sides are parallel to either the x- or the y- axis. A hole of radius r is removed from the plate the center of this hole is on the x-axis at a distance r from the left side of the plate. The centroid of the remaining piece has an x-coordinate equal to c. The value of r that maximizes c satisfies the equation: Tr³ – 3r + 1 = 0 a. Draw the figure and label the parts. b. Find the real root r of the cubic equation by the SECANT METHOD. Use e = 0.0001 and starting values 0.3500 and 0.4500.
Transcribed Image Text:1. A square plate with sides of unit length has its center at the origin of an x-y coordinate plane; the sides are parallel to either the x- or the y- axis. A hole of radius r is removed from the plate the center of this hole is on the x-axis at a distance r from the left side of the plate. The centroid of the remaining piece has an x-coordinate equal to c. The value of r that maximizes c satisfies the equation: Tr³ – 3r + 1 = 0 a. Draw the figure and label the parts. b. Find the real root r of the cubic equation by the SECANT METHOD. Use e = 0.0001 and starting values 0.3500 and 0.4500.
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