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226 Appendix D: A Detailed Look at _

Execute _ again:

Keystrokes

Display

| ¥

Run mode.

0 v

0.0000

Initial estimates.

´ v B

4.0681

The desired root.

)

4.0681

A previous estimate of the

root.

)

0.0000

Value of modified f(t) at root.

After 4.0681 seconds, the ridget is at a height of 107 ± 0.5 meters. This

solution, although different from the previous answer, is correct considering

the uncertainty of the height equation. (And this solution is found in just

under half the time of the earlier solution.)

Interpreting Results

The numbers that _ places in the X-, Y-, and Z-registers help you

evaluate the results of the search for a root of your equation.

Even when no

root is found, the results are still significant.

When _ finds a root of the specified

equation, the root and function values are

placed in the X- and Z-registers. A function

value of zero is the expected result.

However, a nonzero function value is also

acceptable because it indicates that the

function's graph apparently crosses the x-

axis within an infinitesimal distance from

the calculated root. In most such cases, the

function value will be relatively close to

zero.

The number in the T-register is the same number that was left in the Y-register by the final execution of

your function subroutine. Generally, this number is not of interest.

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HP 15C Manual do Utilizador Página 226