Este equipamento obedece às exigências da directiva 89/336/
CEE na sua versão corrigida pela directiva 93/68/CEE.
Este aparato satisface las exigencias de la Directiva 89/336/
CEE, modificada por medio de la 93/68/CEE.
Denna utrustning uppfyller kraven enligt riktlinjen 89/336/EEC
så som kompletteras av 93/68/EEC.
Dette produktet oppfyller betingelsene i direktivet 89/336/EEC i
endringen 93/68/EEC.
Tämä laite täyttää direktiivin 89/336/EEC vaatimukset, jota on
muutettu direktiivillä 93/68/EEC.
This equipment complies with the requirements of Directive 89/
336/EEC as amended by 93/68/EEC.
Dieses Gerät entspricht den Anforderungen der EG-Richtlinie
89/336/EWG mit Änderung 93/68/EWG.
Ce matériel répond aux exigences contenues dans la directive
89/336/CEE modifiée par la directive 93/68/CEE.
Dit apparaat voldoet aan de eisen van de richtlijn 89/336/EEG,
Page 3
• The information provided in this manual is subject to change without notice.
• SHARP assumes no responsibility, directly or indirectly, for financial losses or claims
for data lost or otherwise rendered unusable whether as a result of improper use,
repairs,defects, battery replacement, use after the specified battery life has expired,
or any other cause.
from third persons resulting from the use of this product and any of its functions, the
loss of or alteration of stored data, etc.
• SHARP strongly recommends that separate permanent written records be kept of all
important data. Data may be lost or altered in virtually any electronic memory
product under certain circumstances. Therefore, SHARP assumes no responsibility
• The material in this manual is supplied without representation or warranty of any
kind. SHARP assumes no responsibility and shall have no liability of any kind,
consequential or otherwise, from the use of this material.
manual on hand for reference.
Congratulations on purchasing the EL-9650 Graphing Scientific Calculator. Please read
this operation manual carefully to familiarize yourself with all the features of the
calculator and to ensure years of reliable operation. Also, please keep this operation
INTRODUCTION
NOTICE
i
Page 4
5. When Using for the First Time ................................................................................... 5
.................................................Pen-touch [D CONV] ..... Screen B
.................................................Pen-touch [B NUM] ........ Screen D
previous screen or executing calculations.
(For manual key entry, press
↓↓↓
≥
is highlighted.)
®
When performing touch-pen operations in the menu screen such as above, the first
pen-touch highlights the selection (indicates that the item has been selected) and the
second pen-touch confirms the selection/function for transferring commands to the
when [7 max(]
8. The screen will return to the display it had before
opening the MATH menu and the previously
selected command is transferred.
F
UNIQUE FUNCTIONS
Page 50
<Example>
The touch-pen operation for changing “56×42”, which
has completed calculation of “56×42 = 2352”, to “36×42”
is explained here.
1. Touch the area above the answer (2352 on the
diagram to the right) with the touch-pen.
5. “56×42” will be calculated when pressing
4. Press
shown to the right.
3. Touch “3” on the screen using the pen.
The cursor will flash on top of the “3” indicating the
edit mode (it is now possible to correct the “3”) as
Press
<Example>
The touch-pen operation for changing the “3” of entered “56 × 32” to “4” is explained
here.
1. Initialize the screen.
2. Input
screen
d4
.
5
¬
,
6
.
,
j
,
3
,
2
CHAPTER 2
(2) Using the touch-pen on the normal function calculation
40
®
.
using manual key entry.
Page 51
41
In other words, when a calculation has already been executed, it is possible to call out
the formula by touching the area above the answer with the touch-pen.
3. Select “5” using the touch-pen as above. Change the
number to “3” then press
®
to execute calculation.
2. This will display the previous formula one line below
the answer (the cursor is positioned in a location
before the calculation).
UNIQUE FUNCTIONS
Page 52
42
• Pen-touching on a full screen graph, as above, is considered here.
* Operations differ when in the normal mode and trace mode. Both are explained below.
* For more information on graphing functions see CHAPTER 4 on page 79.
5
Pen-touch the graph curve
(no formula display)
4
Pen-touch the graph curve
(formula display graph)
6
Pen-touch the cursor
coordinates display
1
Pen-touch the numerical formula
2
Pen-touch an area unrelated to
graphs or formulas
3
Pen-touch the X or Y axis
• The touch-pen is used on the graph screen to specify cursor location (also used to
selection.
select formulas when tracing).
•“
• The selected area when pen-touching on the graph screen is displayed using “
function calculation screen, and touching the same area once more confirms the
• In the graph screen, it is possible to easily set the direction and amount of graph
shifting using the SHIFT/CHANGE function, etc. as described later, specify tracing
locations, and enlarge and reduce screens using the touch-pen operation.
CHAPTER 2
(3) Using the touch-pen on the graph screen
” appears when touching the graph screen with the touch-pen as on the normal
”.
Page 53
When the graph is in the trace mode:
• Since the split screen (
side of the screen (graph) moves the cursor in the same manner as the previously-
mentioned trace mode. Pen-touching the right side of the screen (list screen or
formula screen) changes graph formulas and moves the cursor pointer to the graph
curve position that corresponds to the list position.
pointer).
when pen-touching the second time is fixed as shown
below (“ ” is the boxed area and “ ” is the cursor
* The location where the cursor pointer appears. The
onscreen “” is displayed using a 8 × 10 dot configura-
tion. The relationship of the cursor pointer and the “”
5
: When using the same procedure as in
Touching within the “” moves and displays the cursor pointer within the “” and
the “
along with the cursor movement will change to that of the graph line newly moved by
the cursor pointer.
1
4
to
: “” will appear with the first pen-touch.
Touching within “
• When not in the trace mode, it is possible to display and move the cursor pointer to
the specified location for all selections.
3
,
” disappears.
6
: “” will appear with the first pen-touch.
” deletes “” and returns to the previous graph mode.
Ï
) is always in the trace mode, pen-touching the left
• The cursor pointer will appear in a point (fixed)* within “
When the graph is in the normal mode (non-trace mode):
•
2
touch to the same area.
to
5
: Press anywhere and “” will appear with the first pen-touch.
43
4
, the formula displayed on the upper left
” with the second pen-
UNIQUE FUNCTIONS
Page 54
44
• You can select the easiest procedure for each screen, since pen-touching and
• There are some screens where pen-touching is not allowed (embedded demonstraare executed in a similar manner to that of the normal function calculation screen.
manual key entry perform identical operations.
tion screens and sending of slide show screens, etc.).
• On screens similar to that of the menu screen (screens that require selection of set
menu screen, normal function calculation screen and graph screen.
window modes such as Rapid zoom, etc.), list correction, etc., pen-touching will
highlight the selected item as with main screen selection method. Other operations
CHAPTER 2
(4) Using the touch-pen on other screens
• Pen-touch input is valid for most screens not mentioned previously, such as the
Page 55
* After the solution has been found, press
known variables when there is only one unknown
variable. See CHAPTER 9 on page 211 for details.
the variable input screen. On this screen, you may change
the numeric values in the variables and select another
unknown variable to find the solution again.
5. Execute the solver function.
It is simple to use the solver function by inputting
Press
Ï
Move the cursor to the location of the unknown
variable A…≤
Input 2 for Y.…2
Skip A since it is the unknown variable…
Input 5 for B.…5
4. Input the known variables:
3. Enter the equation:
Press
®
.
ÅYÅ=ÅA+ÅB
2. Solver Function
• Only real numbers may be used in the solver function.
<Example>
In the equation Y = A + B, Y and B are known variables with values 2 and 5, respec-
tively. The value of A will be calculated.
1. Delete the screen.
2. The display on the right will flash momentarily when
mode.
Press
pressing
Ï
¬
• The EL-9650 is equipped with a solver function that allows a known variable to be
input to solve an unknown variable. Hence it is possible to solve an equation using
various variables.
45
¬
to return to
.
®
®
®
.
to inform that it is in the solver
UNIQUE FUNCTIONS
Page 56
* The number of demonstration screens for each equation differs.
* The installed data are only for viewing and cannot be corrected and changed. Touch-pen
operations are also not used in this function. Only ≥ and ≤ are valid inputs.
(2) Advancing the demonstration screen by one page
The “Y =
the last demonstration screen. Pages will not advance
when pressing ≥ (11 screen data is available for
“Y =
Use the ≥ key to advance a page and ≤ to
view the previous page.
1. Press ≥.
2. Next, the graph for “Y=X
number will change to 02 .
displays the list ( 01 on the upper right indicates the
first demonstration screen of equation “Y =
3. SLIDE SHOW Function
The EL-9650 is equipped with commonly used formulas and graph screens to help
(1) Viewing the installed demonstration screen
1. Press
2. Press
The screen will split as shown on the right. The left side
displays the graph and its equation (depending on the
screen, the equation may not appear) and the right side
• Let’s view the installed equation “Y=”.
understand the relationship between functions and graphs.
CHAPTER 2
46
”).
” screen is shown on the right, which is
2
” appears. The screen
”).
≥
≥
A
.
>≥≥
®
.
Page 57
47
The solid lines indicate the graph “Y=X
“Y=X
shifting executed.
2
→X
2
–1”
2
–1”.
4. Press
The equation on the right will be changed with
3. Press ≥ to shift the graph down.
The cursor “
graph will be shifted downwards.
and that it is in standby mode.
equation.
The cursor “ ” will be displayed on the graph. This
indicates the directions in which the graph can be moved,
The equation for the currently displayed graph will be
displayed on the upper half of the right side of the screen.
The bottom half of the same side displays the registered
screen.
®
to confirm.
” will be displayed, indicating that the
2. Press
(1) SHIFT function
Shifting is observed using “Y=X
1. Press
changes in graphs and formulas when shifting. It has a change function to see how
graphs and formulas change after graphs are shifted.
The “Y=X
A
2
” graph will appear on the left side of the
Ï
>
®
.
.
2
”.
4. SHIFT/CHANGE Function
As with the slide show function, the EL-9650 is installed with a shift function. The shift
function allows the installed equations and graph data to be displayed in order to view
For details on the slide show function, see CHAPTER 10 on page 221.
Registered equation
Currently displayed
graph
UNIQUE FUNCTIONS
Page 58
For details, see CHAPTER 11 on page 236.
* It is possible to specify the shift amount and the change amount in the SHIFT/
CHANGE function using the touch-pen.
The registering of equations and graphs is the same
as in the shift function.
3. Press
previous graph will be displayed using dotted lines
as with the shift function.
®
2. Press ≤ (the “Y=
graph formats are changed, the cursor becomes as shown on the right.
The changes in coordinates are displayed on the
bottom left of the screen (in the diagram, (X=1, Y=1)
is changed to (X=1, Y=2).
The screen configuration is the same as for the shift function; however, since the
1. Press
Press
Select graph “Y=
B
Ï
parallel shifting. In the change function, it is possible to view the relationship of equa-
tions and graphs by changing the graph format.
Let’s view the change using graph “Y=
(2) CHANGE function
In the shift function, it is possible to view the relationship of graphs and equations using
For details, see CHAPTER 11 on page 229.
“∆X=0 ∆Y=-1” displayed on the bottom of the graph indicates the amount the
previous graph was shifted in the direction of the X axis and Y axis.
described earlier.
5. Press
To continue shifting, use ≥≤><as
shown on the right will be displayed.
* Graphs of registered equations are indicated using
dotted lines (the first formula is automatically registered
at the point when selecting “Y=X
CHAPTER 2
The dotted lines (....) on the screen indicates the graph “Y=X
®
48
to confirm the change, and the
” graph moves upward).
>≥
”.
.
®
.
to register “Y=X
2
–1”. The screen as
2
”).
”.
2
”. (Previous graph).
Page 59
49
• An entered expression is displayed on the left side of the screen. The answer of the
• To enter “0.5”, it is accepted to enter “.5” by omitting “0”.
entered expression is indicated on the right side of the screen.
64 8770
75×(((36+18)×3)–64÷8) =5 36 18 3
6(4×10
5-5×26 =526-130
3
)÷(5×10
-2
) =4 3 5 2 80000
4 =75 626 3
3(26+39)÷0.5 =2639.5130
226+39÷0.5 =26 39.5104
149.6–75.2+32 =49.6 75.2326.4
1. Arithmetic Calculations
No. ExampleKey operationsAnswer
different calculation result.
Ï
, change the EDITOR to One Line (as
display.
Checking the SET UP menu:
Press
shown to the right).
If any of the settings are different, make necessary
changes, since different settings may produce a
Calculations using common math functions (addition, subtraction, multiplication and
division)
Follow the steps described below before performing a calculation.
Press
to set to the normal function calculation mode. Press
MANUAL CALCULATIONS
CHAPTER 3
MANUAL CALCULATIONS
¬
to clear the
3
Page 60
• The EXP key (secondary function of
• In example 7, the input of
• A maximum of 32 parentheses (including those of other calculation instructions) can
For the expression “5 × (-3)”, the use of
be used. However, the numeric values stored in an expression must not exceed 14.
error. Use
—
.)
j
before
• A negative number is entered by pressing
If
shown in example 5.
-
is mistakenly used in place of
• All calculations inside parentheses ( ) are completed first.
In example 3 above, if the parentheses were omitted, the calculation result would be
the same as that of example 2.
the decimal point is omitted on the display.
CHAPTER 3
• If an answer is smaller than 1 (0.XXX...), the zero (0) indication in the first digit left of
50
,
,
(
) is used to input exponents.
may be omitted.
—
-
for the “-” sign of “-3” generates an
—
, an error will be generated. (Example:
(not
-
) before the number, as
Page 61
51
Grad : 0 |θ| 100Grad : 0 θ 200
2. Function Calculations
• Expressions with inverse trigonometric functions evaluate in the following ranges.
Deg : 0 |θ| 90Deg : 0 θ 180
Rad : 0|θ|Rad : 0 θπ
θ = sin
-1
X, θ = tan
-1
Xθ = cos
-1
X
Square (x
Exponents (10
roots (
a
◊)
2
), Reciprocal (x
x
, e
x
), Pi (π), Fractions (a/b), Powers (a
-1
), Common logarithms (log), Natural logarithms (In),
b
), Square roots (◊), Xth
• Functions that are directly accessible from keys:
Trigonometric functions (sin, cos, tan)
Inverse trigonometric functions (sin
-1
, cos
-1
, tan
-1
)
• There are two groups of functions. The functions of one group are directly accessible
UP Menu” on page 20.
from keys (such as log, sin, cos, etc.). The functions of the other group are selected
from menu screens (such as 2
x
, sinh and ∫ in the MATH, CALC menu.)
• Press to set to the common function calculation mode. Press
• Check to make sure that the SET UP settings are as shown on CHAPTER 1 “10.SET
display.
MANUAL CALCULATIONS
¬
to clear
Page 62
• When the angle mode is set to Rad, it is possible to input π based on the equation
π = 180°(Deg).
calculations are based on “π = 3.14...” (degrees).
To enter, press
Ïπ
*1
In a complex calculation with multiple powers, an expression evaluates from the
beginning. Therefore, the expression “2^3^2” is interpreted as “(2
expression “2
3
2
”, enter “2^(3^2)”.
. It is possible to input “π” in the Deg mode. In that case,
16( 15
18=38 7 5.428571429
17=3 1214.946087443
3
) =15 3 1 47.621991222*
143
158
5
–2
=3 5 243
=82.015625
10log 30 =301.477121255
12
13=368115
115
1
8
2
– 4
=
2
=5
8.125
6tan
810
9In 25 =253.218875825
7e
5
=5148.4131591
2.6
1 =150
=2.6398.1071706
()
be changed to Grad
5cos
4sin
-1
-1
-1
0.26 =0.2615.07006214
-1 =13.141592654
()
[B DRG] in SET UP must
[B DRG] in SET UP must
be changed to Rad
()
[B DRG] in SET UP must
be changed to Deg
1sin 56 =56.829037572
) = 4 .707106781
( )
[B DRG] in SET UP must be
changed to Deg
()
()
[B DRG] in SET UP must
be changed to Grad
[B DRG] in SET UP must
be changed to Rad
(1) Input examples of functions accessible directly from keys
No. ExampleKey operationsAnswer
2cos (
3tan 150 =
CHAPTER 3
52
3
)
2
”. To evaluate the
-
150-1
4 9
1
Page 63
Common function menu (A) [A CALC]:
• There are a total of 20 functions in the CALC menu.
inverse hyperbolic functions (sinh, cosh, tanh, sinh
Hexadecimal (HEX): Expression of numerical values using numbers from 0 to 9 and
(1) Binary, octal, decimal and hexadecimal numbers
Decimal (DEC):Most commonly used expression of numerical values using
This calculator allows conversions and calculations using the four rules of arithmetic
and boolean operations of numerical values expressed in decimals, binary, octals,
and hexadecimals
3. Binary, Octal, and Hexadecimal Calculations
In addition to the normally used numerical expression of decimals, binary, octal, and
hexadecimal numerical expressions may be used.
63
letters A, B, C, D, E, and F. A to F represent numbers 10 to 15
and letters A, B, C, D, E and F are used in this calculator. Use
s
letters (the
A
c
Å
B
t
C
function is not used).
Ó
D
g
E
˜
F
directly for entering the
numbers from 0 to 9.
MANUAL CALCULATIONS
Page 74
• Numerical values in binary, octal, and hexadecimal modes can be expressed in the
An error is returned for calculations and conversions exceeding the above men-
An error is also returned for calculations and conversions with results exceeding the
tioned number of digits.
range.
Hexadecimal: 10 digits
following number of digits:
Binary: 16 digits
Octal: 10 digits
Press
* Decimals are discarded for modes other than the DEC
mode.
<Example>
Convert 12.34 expressed in decimals to binary, octal,
and hexadecimal numbers.
Press
<Example>
Convert hexadecimal 2BC to binary, octal, and decimal
numbers.
Press
hexadecimal numbers.
<Example>
Convert 38 expressed in decimals to binary, octal, and
cursor.
2. Press
1. Press to set to the standard function calculation
Conversions can be made while in this screen by
numerical expressions.
inputting numerical values at the location of the flashing
mode.
Ï
CHAPTER 3
(3) Binary, octal, decimal and hexadecimal conversion
64
ÏA®
≥ 12.34
®
.
ÏA®
2 B C
®
.
ÏA®
A®
to display listing of
≥ 3 8
®
.
Initial cursor position
Page 75
Calculate “(1010 - 111) × 10”.
Press
(
1010
-
111
)j
+
110
®
.
<Example>
Calculate “1011+110”.
Press
ÏA®
≥≥≥
Binary calculation:
Calculation results for binary, octal, and hexadecimal modes are displayed with the
used.
same number of digits as with conversions. Calculation results are displayed with
conversions to each number system.
(4) Binary, octal, and hexadecimal calculations (arithmetic
In decimal calculations, exponents may be entered using
decimal (DEC) mode (however, function calculations and other calculations not
mentioned above cannot be executed).
For binary (BIN), octal (OCT), and hexadecimal (HEX) modes, the four rules of
arithmetic (+ – ×÷) can be used as in the decimal (DEC) mode. Calculations using
parentheses and memory can be executed as well in the same manner as in the
• When numerical values of binary, octal, and hexadecimal modes are negative, the
display is switched to complements of 2.
• Decimals are not used for modes other than the DEC mode (
When converting numerical values with decimals to binary, octal, or hexadecimal,
decimals are discarded and only the integers are converted.
calculations)
65
10
®
.
1011
MANUAL CALCULATIONS
and decimals may be
.
•
is inoperable).
Page 76
• Memory calculations cannot be used in this mode.
• Press
the current mode.
calculations after binary, octal, or hexadecimal conversions. Calculations can be
continued as is.
,,,,, or
)/
• There is no need to switch modes when continuing
Calculate “(200 –FC) ÷ 3”.
Press
ÏA®(
3
®
.
Press
ÏA®
Hexadecimal calculation:
<Example>
Calculate “2FF–25”.
6
Calculate “35 ÷ 6” in base 8.
Press
®
.
ÏA®
Calculate “42 ÷ 6” in base 8.
Press
®
.
ÏA®
CHAPTER 3
Octal calculation:
<Example>
66
2FF
Ϝ
200
-
to return to the previous screen from
FC
-
25
®
.
≥≥
35
/
≥≥
42
/
6
Page 77
Press
• For binary, octal, decimal, and hexadecimal modes
executed with boolean operations using only one
number system can be converted and listed in the
remaining number systems as well.
after pressing
≥
to select a boolean operator (and, or, not, neg, xor, or xnor).
ÏA®
01
10
11
0
0
1
00
0
(1) Table of true values for boolean operations
AB
A and B
It is also possible to find complements (neg) to express negative values.
2. Press
®
. “1” is returned.
Compare 4 with 2 to see if 4 is bigger.
1. Press
4
≥F3
<Example>
Inequality expressions are selected from the [MATH][F]
menu.
For matrices, only “=” and “≠” can be used and the dimensions of the matrices must be
the same.
Using the inequality expressions, (=, ≠, >, ≥, <, ≤), value A and value B are compared,
“1” is returned for true and “0” is returned for false. Real numbers, equations or lists can
be used for value A and value B.
5. Boolean Operations
In binary, octal, decimal and hexadecimal modes, calculations with boolean expres-
sions of and, or, not, xor and xnor may be used.
4. Test Functions
67
, results
1
0
1
1
1
1
1
0
0
10
A or B
0
A xor B
0
A xnor B
1
A not A
01
2.
MANUAL CALCULATIONS
Page 78
68
8Hexadecimal: using
“and” for 3D and 35
then adding 12
3D
®
≥1
ÏA®(
35
)+
12
7Hexadecimal: using
“or” and “and” for 70,
3E, and A2
70
1
≥2
ÏA
A2
®
3E
)≥
®(
6Hexadecimal: using
“xnor” for A5 and 2F
≥6
ÏA®
2F
®
A5
5Octal: using “xor” for
36 and 52
≥ 36
ÏA
≥5
®
52
®
≥
4Hexadecimal: using
ment of 1
“neg” for comple-
4
ÏA®≥
1
®
3Binary: using “not”
for 101110
≥≥
®
ÏA®
≥
3
101110
≥
2Hexadecimal: using
“or” for 5A and E2
≥2
ÏA®
E2
®
5A
101
®
No.ExampleKey operationsDisplay
1Binary: using “and”
for 1011 and 101
≥≥≥ 1011
ÏA®
≥1
CHAPTER 3
Page 79
<Example>
* It is possible to input complex numbers (i) in the real number
2. Press
mode (real). However, an error is returned when pressing
®
.
To change the setting to “x±yi”, press
(
4
-(
6
3
Ï.)®
+
4
Ï.)j
Calculate “(3+4i) × (4–6i)”.
1. Press
from bottom of the right in the set contents screen displays “x±yi”.
Ï
and check to see that the second line
x
calculations using real numbers:
2
, x
-1
, log, In, 10
x
, e
x
, a
b
,,
(1) Usable function keys (main unit keys) in the complex
The following functions can be used for complex numbers. There are no limits for
number mode
6. Calculations Using Complex Numbers
• The initial screen for the complex number calculation
• Complex numbers can be noted using either [4 x ± yi]: (rectangular coordinates) or
Ï
mode is the same as for the real number mode.
[5 r
• To execute calculations using complex numbers, select
in the SET UP menu screen.
sub-menu item [4 x ± yi] or [5 r θ] within [F ANSWER]
θ](polar coordinates).
F4
yi
r
θ
x
or
5
69
.
Ï
F 4
.
MANUAL CALCULATIONS
Page 80
In the
exclusively for complex numbers.
Press
[conj(]: finds the complex conjugate
<Example>
Find the complex conjugate of “6+3i”.
Press
)®
≥
≥H
(For details, see table on page 282, APPENDIX “6. Explanation of EL-9650 menus”,
describing usable functions in the complex number mode according to menus of this
calculator.)
<Example>
Find the absolute value of “3+4i”.
Press
)®
CHAPTER 3
(2) Usable functions (menus) for complex numbers
Some of the functions within menu screens can be used for complex numbers, including
abs, ipart, fpart, etc.
70
≥H1
.
6
+
3
Ï
menu, there is a function sub-menu
.
.
≥B1
3
+
4
Ï
Page 81
<Example>
Find the imaginary part of the complex number “(15+2i)
)®
[arg(]: finds angle “x+yi” when converting θ (rectangular coordinates) to polar coordi-
nates)
Formula: θ=tan
and [1 abs(]).
<Example>
Find angle (argument) of “7+5i” (angles mode:Deg).
Press
Press
))®
[abs(]:finds the absolute value (same as
* Angles can be entered using Deg, Rad, and Grad modes.
[image(]: finds imaginary part of a complex number in polar form.
mode:Deg)
Press
<Example>
Find real part of polar coordinates “15
)j(
[real(]: finds real part of a complex number in polar form
Press
Calculations can also be performed.
<Example>
Find the complex conjugate of “(5+2i) × (3–4i)”.
)®
71
≥H5
.
7
+
5
Ï
≥H3(
≥H2
.
≥H1(
3
-
-1
(y/x)
4
Ï))®
5
+
2
Ï
.
15
+
≥
2
Ï
, [B NUM],
15
ϯ
30” (angle
30
2
”.
MANUAL CALCULATIONS
Page 82
72
• If a recalled expression is evaluated again, it will be added to the temporary memory
<Example>
1. Enter following expressions:
10 + 5 =
6 × 3 + 2 =
15 ÷ 3 =
To recall previous expressions in sequence after evaluating the above expression.
=
• Data in the temporary memory can be deleted by changing the editor type and
as the newest data.
resetting.
• To recall the expression evaluated before the previous one, press
Repeat this step to continue recalling expressions in an order from the newest.
Ï
Operating instructions:
• To recall the expression evaluated immediately before, press
previous expression appears on the display.
Ï
edit mode in the SET UP menu, all numerical equations and graph equations
automatically stored to the temporary memory will be cleared and cannot be
recalled.
• A maximum of 160 bytes can be stored in the temporary memory.
• Please note that when switching (changing) from the Equation edit mode to One-line
The capacity may vary slightly when there are division codes between expressions.
7. Convenient and Useful Functions
(1) Last entry function
• The EL-9650 is equipped with a temporary memory area that stores expressions
• Expressions that have been executed are stored in an executing order until the
entered for calculation.
temporary memory becomes full. When the capacity of the temporary memory is
exceeded, stored expressions are deleted in order from the oldest. Therefore,
previously entered expressions can be recalled only when they are still stored in the
temporary memory.
CHAPTER 3
. The
.
Page 83
2. Press 10
®
“10 × (3+2) + 2
Key operation:
1. Press 3
<Example 2>
Apply the result of “3+2” to the next equation
to obtain the square root of the above answer.
2. Press
to obtain the answer of “5 + 6 × 20”.
1. Press
To evaluate “5 + 6 × 20”, and obtain the square root of that answer.
<Example 1>
(If an error is generated during a calculation, the previous answer remains as the
value of “Ans”.)
The previous answer may be used two or more times in a single expression.
Note that the numeric value represented by “Ans” changes when a new expression
is evaluated.
When expressions continue to be recalled without editing
• The “Ans” indication on the display represents the result of the previous calculation.
To use the previous calculation result, press
result is to be inserted.
(2) Continuing calculations using last answer
• The answer resulting from evaluating an expression (by pressing
used in the next calculation.
or evaluating, they appear at the bottom of the display.
Press
3. The expression “6 × 3 + 2” evaluated before the
expression “15 ÷ 3” is recalled and displayed at the
location of “15 ÷ 3”.
2. The expression “15 ÷ 3” evaluated before the previous
Press
one is displayed at the bottom of the display.
73
.
j Ï
+
2
®
+
.
2
Ï
(3+2)
=”.
ÏÏ®
5
+
6
j
20
®
Ï
at the location where the
®
) can be
Ï
.
Ï
.
MANUAL CALCULATIONS
Page 84
2. Press 5
(Specify memory space using A to Z and θ after pressing
Î
Store calculation result of “(12+6) × 2” in memory A and calculation result of “5 × sin60”
in memory B. (Angle mode:Deg)
1. Press
®
. It is necessary to use
.
s
(
60
12
ÎÅ
+
Å
6
) j
B
to input alphabets.)
®
<Example 1>
* It is also possible to store the calculation results in the memory using “Ans”.
* Variables X, Y, R, and θ will change when executing graph, etc.
in equations.
To do so, press
Ï ÎÅ
Using the independent memory (A to Z and θ):
It is possible to store different numerical values in memory spaces A to Z and θ (total
of 27). You can store numerical values or calculation results in the memory and use
3. Press
(3) Memory calculations
It is possible to store numerical values to independent memories A to Z and θ. Here,
memory calculations using the independent memory are explained.
4. Press
“2 × 8” is executed and Ans is replaced with 16.
“2 × 16” is executed and “Ans” is replaced with 32.
®
.
2. Press 2
1. Press
4 of “Ans” is replaced by 8.
“Ans=4” is stored in memory.
®
j Ï
3
.
+
Pressing
latest results and continues calculation.
After executing “3+1”, proceed with “2 × Ans”.
®
after executing a calculation replaces the contents in Ans with the
CHAPTER 3
<Example 3>
1
®
®
.
.
74
.
2
ÎÅ
A
A ( or B to Z , θ )
®
.
Page 85
* All memory of A to Z and θ are maintained even when pressing
power supply off.
*“×” notations may be omitted for calculations involving
)®
multiplication of memories such as A×B or when numerical
values come first such as 3×A and 5×B.
Use A and B entered in example 1 to execute
“A × B/(A + B)”.
Press
Å
screen. Input the memory name here.
Calculating using memory (Although
be used as in the previous example.)
<Example 4>
When using
• When using
• When using
To recall memory,
<Example 3>
Recall memory A and B with stored data from example 1 (A = 36 and B = 4.330127019)
using different approaches.
* To clear memory contents, store “0” to the memory space.
<Example 2>
Clear contents of memory C.
Press 0
ÎÅ
75
¬
or when shutting the
A
Å
B
/(Å
A
+Å
B
Ï
Å
:
to recall memory, “ RCL _” will appear on the bottom left of the
Å
B
®
Å
is used in the example below,
may also
:
ÏÅ
A
®
or
Å
may be used.
®
.
C
MANUAL CALCULATIONS
Page 86
<Example>
Solve the system of equations.
3X + 4Y –5Z = –3: equation 1
2X – 8Y + 3Z = 2: equation 2
4X + 2Y +Z = 20: equation 3
[2 2] solves simultaneous linear equations with two unknown values and [3 3] solves
for the linear equation will appear on the right side of
the screen.
simultaneous linear equations with three unknown values.
1. [A NBASE]
See the previous pages for details of this function. (See CHAPTER 3 “4. Boolean
Operations” on page 67)
2. [B SYSTEM]
• It is possible to solve simultaneous linear equations with two to six unknown values
• Press
• The sub-menu to select the number of unknown values
to the right will appear).
[A NBASE] .... Menu to execute binary, octal, decimal
[B SYSTEM] . Menu to solve simultaneous linear
using this function.
the right.
[C POLY]....... Menu to solve polynomial equations.
• Press
• The TOOL menu is equipped with functions to convert and execute binary, octal,
decimal, and hexadecimal expressions as well solve simultaneous linear equations
and polynomial equations.
CHAPTER 3
(4) TOOL menu
76
Ï
B
to display the screen shown on
Ï
and hexadecimal calculations.
equations.
to enter the TOOL menu (the display
Page 87
77
3. [C POLY]
• It is possible to solve polynomial equations using this function.
• Press
[2 2] solves quadratic equations.
[3 3] solves cubic equations.
screen shown on the right will appear.
Ï
C
to enter the mode which solves polynomial equations. The
using
procedure mentioned above.
Ï
B 2
(or
3
to
6
), then enter coefficients using the
• To solve simultaneous linear equations with two to six unknown values, first select
Answer: X=3
displayed on-screen.
Y=2
Z=4
3. Complete coefficient input by entering:
4. Press
2
4
®—
®
Ï
2
®
1
®
20
®
8
®
3
®
2
®
to execute calculation. The results are
1. Input each coefficient of equation 1 by entering:
2. Input each coefficient of equation 2 by entering:
The input screen shown on the right will appear.
3
®
4
®—
5
®—
3
®
Input values are displayed on the very bottom of the screen.
Only 4 coefficients are displayed at a time. Use the <> to scroll the screen.
Equation types are displayed on the top of the screen.
The list of coefficients (a, b, c, d) allowed for input (the cursor pointer is located on
the first line of a) is displayed below.
• Enter the mode to solve simultaneous linear equations
B3
with three unknown values by pressing
.
Ï
MANUAL CALCULATIONS
Page 88
•“
shown on the screen at one time. Use ≥ to scroll the screen.
• To solve cubic equations, press
then input each parameter following the example
mentioned above (for cubic equations, four parameters of a to d are entered).
2. Complete parameter entry by pressing 2
3. Press
right.
input of each parameter. Since the cursor pointer is
positioned at “a”, enter starting with value a.
1. Press
(Select quadratic equation)
The screen shown on the right will appear asking for
<Example>
The quadratic equation “ax
parameters “a=2”, “b=-5” and “c=-3”.
CHAPTER 3
• This function is explained using an example.
” symbol will appear on the bottom left of the screen if the solution cannot be
Ï
Ï
78
to execute calculation as shown on the
Ï
C 3
®—
5
®—
3
®
.
C 2
2
+ bx + c = 0” is solved using
.
Page 89
• The input method varies depending on the mode.
• To select a mode, use the SET UP settings. (Press Ï
(See CHAPTER 1 “10. SET UP Menu” on page 20 for details.)
2. Graph Modes
• The EL-9650 has four graph modes (rectangular coordinate graph, parametric
coordinate graph, polar coordinate graph, and sequence graph).
This chapter describes the method of displaying a graph by specifying functions and
1. Function Graphing Procedures
In the EL-9650, there are two input methods for displaying a graph.
parameters.
79
GRAPHING FUNCTIONS
Pressto draw graph
Adjust graph range
Manual input
Input expression
CHAPTER 4
Select from expressions
stored in memory
See the Rapid graph on page 124,
CHAPTER 4 “15. Useful Func-
tions” for details. (This mode is
only for rectangular coordinates.)
.)
GRAPHING FUNCTIONS
Page 90
80
• Press
* In the sequence coordinate graph mode, the [G TYPE] indication appears at the lower right
The screen on the right shows the default settings of the EL-9650.
corner on the display.
When this happens, set [E COORD] of the SET UP menu to [1 Rect].
screen described below.
Check to make sure that the settings are the same as
the ones shown on the right. If any of the settings are
different, the displayed screen may differ from the
(2) Checking the format (See page 97 for details.)
The graph mode is set by [E COORD].
Check to make sure that it is set to Rect.
The FORMAT menu is used to specify the graph style.
Ï.
If it is set differently, change the setting to Rect.
(1) Setting the rectangular coordinate graph mode
Press Ïto display the screen shown on the
right.
3. Rectangular Coordinate Graphing
• In the rectangular coordinate graph mode, ten functions can be stored in Y1 to Y9
• The rectangular coordinate graph mode is the default setting of the EL-9650.
The following section describes the procedures to draw a graph of equations
“Y1=–(X+2)
2
+5” and “Y2=X–2”, and then explains graphing functions.
and Y0 for graph drawing.
CHAPTER 4
Page 91
* In the rectangular coordinate graph mode, enters “X”. This eliminates the need to press
5. When ® is pressed, the cursor automatically
Å X to input “X”.
moves to [Y2]. The screen will look like the one shown
on the right.
graph or not when is pressed.
= : Graph not to be drawn.
=
: Graph to be drawn.
Press — (
“
When any key is pressed, the “=” sign next to “Y1” is highlighted and changes to
=
”. The appearance of the sign indicates whether the function will be made into a
1. Press
2. Enter “–(x + 2)
3. When is pressed to display the above screen, the cursor is located at [Y1]. This
4. On this screen, operate the following keys.
indicates that the calculator is ready to accept the input for Y1.
use ≥ to move the cursor to the input position.)
inputs of Y1 to Y8. (The calculator can store up to 10
functions. To display Y9 and Y0, scroll the screen to
display the next page. To input functions in Y9 and Y0,
(3) Entering a function (See page 98 for details.)
As shown on the right, the screen prompts for the
F STYLE2: To set the graph drawing method
G TYPE: To set the axis for sequence coordinate graphing
D Y’: To set whether or not to display the graph slope (dy/dx) on the
E STYLE1 : To specify line graph or dot graph
• The following briefly explains the items on the FORMAT menu.
A ------: To display the list of the settings of the mode
B CURSOR : To set the graph coordinate system
C EXPRES : To set whether or not to display the graph equation on the screen
81
+ 2 )
+ 5 ®.
2
+ 5” in “Y1”.
.
screen
GRAPHING FUNCTIONS
Page 92
1. Press
2. Press 2 to select [2 Box].
The display returns to the previous graph screen, and
the cursor starts flashing near the center of the display.
(The BOX function allows the selection of a section to
be enlarged by displaying a rectangular box.)
of the ZOOM menu to make a selection.
• In the following steps, the intersection and maximum value are obtained. For easy
• To zoom in, press
viewing, zoom in on the graph.
• The graph that appears when
• The initial values of the rectangular coordinate graph mode are shown below.
(5) Zooming in on graphs (See page 100 for
default setting range, called window.
details.)
(4) Displaying graphs
• To display a graph, press .
• A graph will be created according to the Y1 and Y2
• To cancel the displaying of a graph, press ˚.
functions, as shown on the right.
7. The cursor moves to [Y3]. This completes the input of
the functions.
6. Enter “X–2”.
Key operations: - 2 ®
CHAPTER 4
82
.
Ymin =-10
Ymax =10
Yscl=1
Xmin =-10
Xmax =10
Xscl=1
. There are several methods for zooming. Use the sub-menu
* Window means settings that specify the display area.
on page 104.
For details, see CHAPTER 4, “11. Setting a Window”
is pressed in the above step is displayed in the
Page 93
* Only one equation can be displayed. Of the entered functions,
The [C EXPRES] menu of the FORMAT menu is used to display an equation on the
Press Ï
the equation with the smallest graph number is displayed.
The function equation can be displayed on the TRACE screen.
The equation “Y1=–(x+2)
upper left corner of the display.
screen.
(6) Displaying equations
Before using the trace function, follow the steps below to display the equation of the
graph shown on the screen.
The graph range stays in that setting unless the range setting
from the initial value according to the zooming ratio.
is changed or returned to the default setting.
* When the zoom function is used, the graph range changes
pen, then touch corner
3. Press ®. The section of the graph selected by the rectangular box is drawn to
A rectangular box appears on the display to show the section selected for zooming.
fill the entire graph display area.
* The touch-pen can also be used to select a section to zoom.
* When the touch-pen is used, touch corner
1. Move the cursor to corner
2. Move the cursor to corner
≤...<<...®)
Procedures:
The following steps enlarge the section of the graph
marked by in the diagram shown on the right.
83
C1¬.
2
+5” will be displayed at the
Equation of the displayed graph
2
twice.
1
twice with the
2
. (≥≥...>>...)
1
, and press ®. ( ≤
GRAPHING FUNCTIONS
→
1
→
2
Page 94
84
* If the displayed “” mark is not located at the selected position, touching another position with
location to which the cursor moves is a calculation
the touch-pen moves the “ ” mark to the newly selected position.
within the “
” mark, the cursor moves to a calculation
” mark in some cases.)
point nearest to the “” mark. Therefore, the cursor pointer may be positioned
outside the “
point on the graph within the “
obtained by the calculator’s internal processing. If the
graph slope is steep and there is no calculation point
” mark, which is
• If the position is acceptable, touch inside the “
A“
the selected position.
This enters the selected position, and moves the cursor
to a point on the curve inside the “ ” mark. (The
” mark appears on the screen. This mark indicates
” mark.
2
• With the touch-pen, touch the location on the display.
Using the touch-pen:
The cursor pointer moves to the selected position.
1
• When < is pressed, the cursor pointer moves to the left on the equation curve.
• When > is pressed, the cursor pointer moves to the right on the equation curve.
Using <>:
• Moving the cursor pointer
There are two ways to move the cursor pointer on a graph.
appears on the equation curve. The X and Y coordi-
nates of the cursor pointer position are displayed at the bottom of the screen.
• Set to the TRACE mode.
Press
As shown on the right, a flashing cursor pointer
.
The trace function allows the cursor pointer to be moved on the graph and displays
the coordinates.
CHAPTER 4
(7) Trace function for moving the cursor pointer on the graph
Page 95
85
* Note that if a graph or calculation point is not located within
* If two or more graphs are located within the “ ” mark, the one
appears when the graph is touched once (the screen is
similar to that for moving the cursor). When the same
position is touched again with the pen, the cursor
with the smallest equation number will be selected.
pointer moves.
the “ ” mark, the above operation is invalid.
2
Using the touch-pen:
To select another equation curve, touch the graph with
the touch-pen, as shown on the right. The “
When ≥ is pressed, functions valid for graphing are selected in an order from the
newest entry to the oldest. (The order of the selection is opposite when ≤ is
pressed.)
” mark
Changing the graph (equation) to trace:
There are two ways to move the cursor pointer to another graph.
1
Using ≤≥:
• If the cursor pointer is located outside the screen, press
screen is displayed. The screen will change the display area so that the cursor
pointer appears near the center of the display.
2: If the cursor pointer is moved beyond the top or bottom edge of the display, the
calculator scroll the screen left or right automatically to show the cursor pointer.
cursor pointer is no longer on the screen, and only the X and Y coordinates are
shown. (The coordinate values change in accordance with the cursor position.)
does not move the cursor.
* If the “” mark is not positioned over a graph, touching the same position with the touch-pen
After leaving and returning to the TRACE screen, the cursor will be located at the same
position as it was in the previous TRACE screen (not at the initial position).
When the cursor pointer is moved beyond the screen border:
When the cursor pointer is moved beyond the display border by using < or >
1: If the cursor pointer is moved beyond the left or right edge of the display, the
again when the trace
GRAPHING FUNCTIONS
Page 96
86
2
Select a point on the display using the touch-pen.
When the screen is touched, the “
location again to display the cursor pointer. After the cursor pointer appears on the
display, <, >, ≥, and ≤ can be used to move the cursor pointer dot
by dot. The touch-pen can be used to designate a new location.
1
Press any of <, >, ≥, and ≤ to display the cursor pointer (flashing)
on the display. Press <, >, ≥, or ≤ to move the cursor freely on the
display.
There are two ways to set the cursor to the free-moving mode.
In either method, the screen must be in the graph display mode (not in the TRACE
mode).
Free-moving cursor:
The above explanation showed the methods of moving the cursor on a graph. The
cursor can also be moved freely on the screen.
* Since the X and Y coordinates vary depending on the location of the cursor pointer, the
displayed values may differ from those in the examples.)
” mark appears on the display. Touch the same
CHAPTER 4
(The previous example shows the screen after the cursor pointer is moved from the
equation “Y1 = –(x+2)
2
+5” to the equation “Y2 = x–2”.)
When the graph with the cursor pointer indication is changed in either of the
previous two methods, the equation displayed at the upper left corner of the display
also changes to the one for the newly selected graph.
Page 97
87
• Press Ï
* When calculating using CALC functions:
When solving in a screen while using the ZOOM function,
results may differ in value from that shown in the example
(coordinate values).
display.
• [4 Maximum] provides maximum values. To select, press 4. The cursor moves
The coordinates are displayed at the bottom of the
to the maximum value point of the graph “Y1 = –(x+2)
Display the cursor pointer at Y1 to select graph Y1. (Press
.)
to display the CALC menu.
2
+5”, as shown below.
<Example>
To obtain the maximum value of “Y1 = –(x+2)
2
+5”.
(9) CALC functions (See page 117 for details.)
The CALC functions perform calculations.
To use a function, press Ï.
Y’ menu.
• When the cursor pointer is moved by the trace function, the Y’ coordinates also
If the Y’ indication is not needed, it can be turned off using the previously mentioned
change, in the same way as for X and Y.
at the lower right corner of the display.
• To display Y’, set [D Y’] of FORMAT menu to [1 ON].
• Key operations: Ï
When the above keys are pressed, Y’ appears above Y
D 1 ¬
A numerical derivative of a graph is expressed by dy/dx. This calculator features a
function that displays a numerical derivative Y’ (dy/dx).
(8) Displaying numerical derivative Y’ of graphs
GRAPHING FUNCTIONS
Page 98
88
* The touch pen can also be used to select Y1, etc.
To move the cursor in the left-to-right direction, use <>.
• The cursor indicates the position where a selected equation number is entered.
Move the cursor to the selected equation using +-.
To input an equation number, select from Y1 to Y9, and Y0 displayed at the bottom
of the display. (The cursor is positioned on [NON] indicator in the initial display
condition. This means that selection has not been made.)
the right (Y < “ ”) of “Y”.
• The display shows the left and right sides of “Y”, and the cursor is located on the left
of those symbols. “Y” indicates the shading range. The shaded area will be larger
than the value input on the left (“
–
Initial cursor position
<Y<
” < Y) of “Y” and smaller than the value input on
< Meaning of symbols on display >
[2 INITIAL]: To cancel the shade setting.
• To set the shade function, press 1.
• Press G.
The display shows two sub-menu items.
[1 SET]: To set the shade function.
Used to return to the initial graph display.
The SHADE menu is located in the DRAW menu.
• Press Ï
.
CHAPTER 4
(10) Shading
The calculator is equipped with a function to shade a specified range (SHADE func-
tion). This function is valid only for rectangular coordinates.
The following steps explain how to shade the area designated by this function.
Page 99
89
The following steps shade the area smaller than Y1 and larger than Y2.
1. Press Ï
* If an invalid graphing function (Y1 to Y9, and Y0 functions with “=” sign in non-highlighted
condition) is selected for the shading function, the entry is invalid.
5. Press. This returns to the graph display. The
specified area on the graph will be shaded, as shown
on the right.
4. Press - to input “Y1” on the right side of “Y”.
2. Press --. Make sure that “Y2” appears on the left side of “Y”.
3. Press > to move the cursor to the input position (“Y2<Y<_”) of the upper bound
function.
G1 to display the screen shown previously.
Y1 <Y(Shading of area larger than Y1)
• A maximum of 5 settings can be made on the SHADE screen.
Settings and their meanings (There are 3 shading patterns as shown below.)
Y1 <Y < Y2 (Shading of area larger than Y1 and smaller than Y2)
<Y < Y2 (Shading of area smaller than Y2)
GRAPHING FUNCTIONS
Page 100
90
• Move the cursor pointer in the vertical direction by using ≤≥. In the above
Y4 (only when Y3 and Y4 are in the equation and graphing is valid).
screen, when ≤ is pressed, “-5” appears in the X column, and “1” disappears.
The screen can be scrolled even outside the display range.
• Move the cursor pointer in the left-to-right direction by using <>. While
setting tables, pressing >>>> displays Y4 on the right end of the
display, and the Y1 column disappears. As a result, the screen shows X, Y2, Y3 and
4. Press
Displays a table.
Sets “1” in Table Step.
.
3. Press 1 ®.
Sets “-4” in Table Start.
2. Press — 4 ®.
Specifies the automatic table production mode.
Equations for Y1 and Y2 have been entered; therefore, no
value can be entered for the next column.
1. Press Ï
the start value and table step.
≥.
• To produce a table, it is necessary to display the TABLE SET screen.
The TABLE SET screen is used to enter information necessary for a table display,
such as whether to use the automatic table function or to manually input values, and
entered for X.
CHAPTER 4
(11) Displaying tables (See page 121 for details.)
• A table is a chart of values yielded by a function (Yn)
• There are two methods to create tables. In one
for values of X.
method, the entry of a function automatically produces
a table. In the other method, values are manually
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