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Newton’s method – Sharp EL-9900 User Manual

Page 146

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13

Advanced Keyboard/PROGRAMMING USING THE SHARP EL-9900

Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.

1.

Program the calculator to perform Newton’s method to find the root of

a function.

2.

Create a new program with the name NEWTONS. Enter the following

program and remember to press

ENTER at the end of each line. If you

make a mistake, use the calculator’s editing features to correct the error.

3.

Enter the following program:

Input A

PRGM

A 3 ALPHA A ENTER

Input X

PRGM

A 3 X/

θ/T/n ENTER

If d/dx(Y1,X)=0

PRGM

B 0 3

MATH A 0 5

Goto B

2ndF VARS A ENTER A 1 , X/

θ/T/n )

ALPHA = 0 PRGM B 0 2

ALPHA B ENTER

Label A

PRGM B 0 1 ALPHA A ENTER

X–Y1/d/dx(Y1,X)

X/

θ/T/n – 2ndF VARS A ENTER A 1 ÷

⇒N

MATH

A 0 5 2ndF VARS A ENTER A

1 ,

X/

θ/T/n )

STO ALPHA N ENTER

If abs(X–N)>5

PRGM B 0 3 MATH B 1

Goto B

X/

θ/T/n – ALPHA N )

MATH F 3

5 PRGM

B 0 2 ALPHA B ENTER

Print N

PRGM A 1 ALPHA N ENTER

Wait

PRGM

A 4

ENTER

If abs(X–N)

≤A

PRGM B 0 3 MATH B 1

Goto C

X/

θ/T/n – ALPHA N )

MATH F 6

ALPHA

A PRGM B 0 2 ALPHA C ENTER

N

⇒X

ALPHA N STO X/

θ/T/n ENTER

Goto A

PRGM B 0 2 ALPHA A ENTER

Label B

PRGM B 0 1 ALPHA B ENTER

Print “GUESS

PRGM A 1 PRGM A 2

BETTER

2ndF A-LOCK G U

E S

S SPACE

B E T T E R ENTER

Label C

PRGM B 0 1 ALPHA C ENTER

End

PRGM A 6 ENTER

NEWTON’S METHOD