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HP 15c User Manual

Page 225

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Appendix D: A Detailed Look at _ 225

In order to find the first time at which the height is 107 meters, use initial
estimates of 0 and 1 second and execute _ using B.

Keystrokes

Display

| ¥

Run mode.

0 v

0.0000

Initial estimates.

1

1

´ _
B

4.1718

The desired root.

)

4.1718

A previous estimate of the root.

)

0.0000

Value of f(t) at root.

It takes 4.1718 seconds for the ridget to reach a height of exactly 107
meters. (It takes approximately two seconds to find this solution.)

However, suppose you assume that the function h(t) is accurate only to the
nearest whole meter. You can now change your subroutine to give f(t) = 0
whenever the calculated magnitude of f(t) is less than 0.5 meter. Change
your subroutine as follows:

Keystrokes

Display

| ¥

000-

Program mode.

t “ 006

006– 30

Line before n instruction.

| a

007– 43 16

Magnitude of f(t).

.

008– 48 Accuracy

5

009– 5

|

T 7

010–43,30, 7

Test for x > y and return
zero if accuracy >
magnitude (0.5 > | f(t) | ).

| `

011– 43 35

| T 0

012–43,30, 0 Test for x ≠ 0 and restore

| K

013– 43 36 f(t) if value is nonzero.