HP HP-32S - Page 124

One program to define this function would be:
V01 LBL V
V02 INPUT H
v03 INPUT V
U04 40
V05 RCL- H
V06 20
V07 RCL- H
V08 x
V09 4
V10 x
VI1 RCLx H
V12 RCL- V
V13 RTN
It seems reasonable that either a tall, narrow box or a short, flat box
could be formed having the desired volume. Because the taller box is
preferred, larger initial estimates of the height are reasonable. How
ever, heights greater than 20 centimeters are not physically possible
because the metal sheet is only 40 centimeters wide. Initial estimates
of 10
and 20 centimeters are therefore appropriate.
Keys:
Display:
H SOLVE// | JFN> V
10 | STO ) H
20
10.0000
20_
IM SOLVE//| -fSOLVEi
H
V?va/i/e
7500 | R/S |
SOLVING
H= 15.0000
Description:
Selects program V as
the function to solve.
Stores upper and lower
limits.
Prompts for volume.
This is the desired
height.
Now check the quality of this solution—that is, whether it provided
an exact root—by looking at the values of the previous estimate (in
the Y-register)
and f(x) at the root (in the Z-regjster).
122 7: Solving for an Unknown Variable in an Equation