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.
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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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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