Oneeq15a

Name: Oneeq15a - Sinkage depth of sphere in water - 1st form

Source:

Reference/s Shacham, M. 1989, Chem. Engng. Sci., 44(7), 1495

Model: 1 implicit equation, indep. variable name: h

Lower difficulty level

Constraints: h>0, h<2

Discontinuities: none in the range of interest

Initial range: hmin=-2, hmax=5

Solved by Shacham, M., POLYMATH 5.1, build 19, Dec 12, 2001

Model Eqs. Sinkage depth of sphere in water - 1st form|POLVER05_1

EXCEL FILE
f(h) = h*(1+h*(3-h))-2.4-h #

TEXT FILE
h(min)=-2, h(max)=5

POLYMATH FILE

Variable/function values Variable Value f(x)

h 1.5 9.7500E-01

Variable Value f(x)

Root1 h -0.795219754733581 -2.2204E-15

Root2 h 1.13413784566692 -2.2204E-16

Root3 h 2.66108192383197 -2.8866E-14

Function plot

Name:	Oneeq15a - Sinkage depth of sphere in water - 1st form
Source:

Reference/s	Shacham, M. 1989, Chem. Engng. Sci., 44(7), 1495

Model:	1 implicit equation, indep. variable name: h
	Lower difficulty level
	Constraints: h>0, h<2
	Discontinuities: none in the range of interest
	Initial range: hmin=-2, hmax=5

Solved by	Shacham, M., POLYMATH 5.1, build 19, Dec 12, 2001

Model Eqs.	Sinkage depth of sphere in water - 1st form\|POLVER05_1
EXCEL FILE	f(h) = h(1+h(3-h))-2.4-h #
TEXT FILE	h(min)=-2, h(max)=5
POLYMATH FILE
Variable/function values	Variable	Value	f(x)
	h	1.5	9.7500E-01

	Variable	Value	f(x)
Root1	h	-0.795219754733581	-2.2204E-15
Root2	h	1.13413784566692	-2.2204E-16
Root3	h	2.66108192383197	-2.8866E-14

Function plot