Q6: You are working for a COMPANY that makes floats for ABC commodes. The floating ball has a specific gravity of 0.6 and a radius of 5.5 cm. You are asked to find the depth to which the ball is submerged when floating in water. The equation that gives the depth x to which the ball is submerged under water is given by x³ 0.165x² + 3.993 × 10-4 = 0 Use the secant method of finding roots of equations to find the depth x in m to which the ball is submerged under water. Conduct three iterations to estimate the root of the above equation. Find the absolute relative approximate error and the number of significant digits at least correct at the end of each iteration. Water
Q6: You are working for a COMPANY that makes floats for ABC commodes. The floating ball has a specific gravity of 0.6 and a radius of 5.5 cm. You are asked to find the depth to which the ball is submerged when floating in water. The equation that gives the depth x to which the ball is submerged under water is given by x³ 0.165x² + 3.993 × 10-4 = 0 Use the secant method of finding roots of equations to find the depth x in m to which the ball is submerged under water. Conduct three iterations to estimate the root of the above equation. Find the absolute relative approximate error and the number of significant digits at least correct at the end of each iteration. Water
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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Transcribed Image Text:Q6: You are working for a COMPANY that makes floats for ABC
commodes. The floating ball has a specific gravity of 0.6 and a
radius of 5.5 cm. You are asked to find the depth to which the ball
is submerged when floating in water.
The equation that gives the depth x to which the ball is submerged
under water is given by
x³ 0.165x² + 3.993 x 10-4 = 0
Water
Use the secant method of finding roots of equations to find the
depth x in m to which the ball is submerged under water. Conduct
three iterations to estimate the root of the above equation. Find the absolute relative approximate error and
the number of significant digits at least correct at the end of each iteration.
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