[Q1] For the floating ball problem shown in the Figure below; Water The floating ball has a specific gravity of 0.6 and has a radius of 5.5 cm. The equation that gives the depth x in meters to which the ball is submerged under water is given by x'-0.165x +3.993 x10 = 0 Let us assume the initial guess of the root of f (x) = 0 is Xo = 0.50. Use the Newton- Raphson method of finding roots of equations to find a) the depth x to which the ball is submerged under water. Conduct three iterations to estimate the root of the above equation. b) the absolute relative approximate error at the end of each iteration,

[Q1] For the floating ball problem shown in the Figure below; Water The floating ball has a specific gravity of 0.6 and has a radius of 5.5 cm. The equation that gives the depth x in meters to which the ball is submerged under water is given by x'-0.165x +3.993 x10 = 0 Let us assume the initial guess of the root of f (x) = 0 is Xo = 0.50. Use the Newton- Raphson method of finding roots of equations to find a) the depth x to which the ball is submerged under water. Conduct three iterations to estimate the root of the above equation. b) the absolute relative approximate error at the end of each iteration,

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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Question

[Q1] For the floating ball problem shown in the Figure below;
Water
The floating ball has a specific gravity of 0.6 and has a radius of 5.5 cm. The equation
that gives the depth x in meters to which the ball is submerged under water is given
by
x'-0.165x +3.993 x10 = 0
Let us assume the initial guess of the root of f (x) = 0 is Xo = 0.50. Use the Newton-
Raphson method of finding roots of equations to find
a) the depth x to which the ball is submerged under water. Conduct three iterations to
estimate the root of the above equation.
b) the absolute relative approximate error at the end of each iteration,

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