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3: The volume Vof water in a spherical tank of radius R is related to the depth h of the water by: V= (3R-h). Given R=3m, use a numerical method to determine h (accurate to three dicemal places) that makes V= 40m.

3: The volume Vof water in a spherical tank of radius R is related to the depth h of the water by: V= (3R-h). Given R=3m, use a numerical method to determine h (accurate to three dicemal places) that makes V= 40m.

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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Numerical Solution of Algebraic Equations (Roots of Equations) 3: The volume Vof water in a spherical tank of radius R is related to the depth h of the water by: R -(3R-h). 3 Given R=3m, use a numerical method to determine h (accurate to three dicemal places) that makes V = 40m. 4: The equation of motion of a mass is given as: y= (0.51)e 0. -(0.01)e2, where y is the displacement of the mass in meters and t is the time in seconds. Determine, numerically to three decimal-place accuracy, the time required for the displacement to reduce to half its initial value.
Transcribed Image Text:Numerical Solution of Algebraic Equations (Roots of Equations) 3: The volume Vof water in a spherical tank of radius R is related to the depth h of the water by: R -(3R-h). 3 Given R=3m, use a numerical method to determine h (accurate to three dicemal places) that makes V = 40m. 4: The equation of motion of a mass is given as: y= (0.51)e 0. -(0.01)e2, where y is the displacement of the mass in meters and t is the time in seconds. Determine, numerically to three decimal-place accuracy, the time required for the displacement to reduce to half its initial value.
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