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When you start
Graphing Calculator 3D it will have an empty function text box ready
to be used. If there are no empty function text box, you may add one
by clicking on the yellow pencil labeled "Add new equation" button
as circled below.
A new function text
box will be added as shown above on the right.
By default the new
function is a 3D function, hence it starts with "y=" (you do not
need to type "y="). In front of "y=" start typing a function such
as:
x^2/5+sin(x)
In the above formula,
the variable x is raised to power of 2 then divided by 5 and finally
added to sine of x.
Once you are done
typing the formula, press ENTER or click on "Redraw All" to plot the
function as shown below.
Plotting 3D is same
as plotting 2D except your functions can use variable "y" in 3D
mode. Continuing the example of the previous section (How to plot a
2D function?), follow these simple step:
-
Click on "3D" in
Draw Attributes.
The 3D graph will be
automatically plotted. If it didn't, then click on "Redraw All"
button.
The above graph is
difficult to see. For better visualization you will need to rotate
or zoom in the graph as explained in next section.
To rotate a graph use
your mouse as follows:
-
Move your mouse
pointer over the 2D or 3D graph that you want to rotate.
-
Press and hold the left key of the
mouse.
-
Start dragging the mouse and observe
the graph as it rotates in real-time.
-
Release the left key of the mouse
when done rotating.
To zoom in and out of
the graph you need a mouse that has a scrolling wheel. Use your
mouse as follows:
-
Move your mouse pointer over the 2D
or 3D graph that you want to rotate.
-
Rotate the middle wheel of the mouse
to up in order to "zoom out" and down in order to "zoom in".
The graph below is
the result of rotation and zooming of the 3D graph made in previous
section.
For 2D graphs, try
these simple "y=" examples:
-
x+5
-
x*5
-
5x
-
x^5
-
(3*x)^2
-
sin(x^2)
-
root(x)
-
rootn(3,cos(x))
-
rand()*x^2
For 3D graphs, try
these simple "z=" examples:
-
x+y
-
x^2+y^2
-
sin(x)+sin(y)
-
sin(x*y)
-
cos(y)/sin(x)
-
log(y)+log(z)
-
x^sin(log(y))
Click on the the
button to see the keyboard that among other things lists the
functions and constants currently supported by Graphing
Calculator 3D.
| Operator |
Description |
Example |
| + |
Addition |
x+2 |
| - |
Subtraction |
x-2 |
| * |
Multiplication |
x*2 |
| / |
Division |
x/2 |
| ^ |
Power |
x^2 |
| Constant |
Value |
| Mn |
1.6749286e-27 |
| u0 |
1.2566370614359e-6 |
| e0 |
8.8541878176204e-12 |
| h |
6.6260775e-34 |
| c |
299792458 |
| u |
1.6605402e-27 |
| ec |
1.60217733e-19 |
|
| Constant |
Value |
| Mn |
1.6749286e-27 |
| u0 |
1.2566370614359e-6 |
| e0 |
8.8541878176204e-12 |
| h |
6.6260775e-34 |
| c |
299792458 |
| u |
1.6605402e-27 |
| ec |
1.60217733e-19 |
|
| Function |
Description |
Examples |
| sin |
Sine: sin(v), where v is the
value of angle in radians. |
sin(3.14), sin(x) |
| cos |
Cosine: cos(v), where v is
the value of angle in radians. |
cos(3.14), cos(x) |
| tan |
Tangent: tan(v), where v is
the value of angle in radians. |
tan(3.14), tan(x) |
| sinh |
Hyperbolic Sine: sinh(v),
where v is the value of hyperbolic angle in radians. |
sinh(3.14), sinh(x) |
| cosh |
Hyperbolic Cosine: cosh(v),
where v is the value of hyperbolic angle in radians. |
cosh(3.14), cosh(x) |
| tanh |
Hyperbolic Tangent: tanh(v),
where v is the value of hyperbolic angle in radians. |
tanh(3.14), tanh(x) |
| asin |
Arcsine: asin(v), where v is
a value in [-1,+1] range. |
asin(-0.5), asin(x) |
| acos |
Arcsine: acos(v), where v is
a value in [-1,+1] range. |
acos(-0.5), acos(x) |
| atan |
Arctangent: atan(v), where v
is a value in [-1,+1] range. |
atan(-0.5), atan(x) |
| atan2 |
Arctangent: atan2(v1,v2) is
same as atan(v1/v2) but it returns the correct angle for -Pi
to +Pi range. |
atan2(2,-3), atan2(x,-2) |
| fraction |
fraction(v) returns only the
fraction part of the decimal value v. |
fraction(110.025) -> returns
0.025 |
| rand |
rand() returns a random
number in the [0.0,1.0] range. |
rand() -> may return
0.12512615 |
| round |
round(v) returns closes
integer to decimal value v. |
round(5.623) -> returns 6.0 |
| int |
int(v) returns only the
integer part of the decimal value v. |
int(5.623) -> returns 5.0 |
| min |
min(v1,v2) returns the
smallest of values v1 and v2. |
min(5,8), min(x, 10) |
| max |
max(v1,v2) returns the
largest of values v1 and v2. |
min(5,8), min(x, 10) |
| log |
log(v) returns the logarithm
base 10 of value v. |
log(125.2), log(x) |
| ln |
ln(v) returns the logarithm
base e of value v. |
ln(125.2), ln(x) |
| root |
root(v) returns the root
base 2 of value v. |
root(4.5), root(x) |
| rootn |
rootn(n,v) returns the root
base n of value v. |
root(3,-8), root(3,x) |
| exp |
exp(v) returns the value of
e raised to power of v. |
exp(4.5), exp(x) |
| abs |
abs(v) returns the absolute
value of v. |
abs(-4.5), abs(x) |
| ceil |
ceil(v) returns the rounded
up integer of decimal value v. |
ceil(5.01) -> returns 6.0 |
| floor |
floor(v) returns the rounded
down integer of decimal value v. |
floor(5.99) -> returns 5.0 |
There are two types of color shading available:
- Solid: A single color is used for the entire graph.
- Gradual: Two colors may be selected. The graph color
gradually changes from first color to second color along either
x, y or z axis depending on your choice.
By default, Gradual coloring is select. To change it, click on
the drop down combo box and select Solid as shown below.
Also by default, the graph color is Gradual along Y axis. To
shade along X axis, click on X.
In order to change the color from the default red or blue color,
double-click on the red or blue box. This will open the
color panel.
Select your favorite color and press OK. The graph will
automatically be redrawn with yoru selected color as soon as you
click OK.
Changing resolution of graph is easy. Simply drag the resolution
slider or directly type the value for resolution in the correspond
text box. In the following example, the resolution is set to 1.
With resolution of 1, only one pixel is drawn per unit and the
graph will be less smooth as shown below:
In order to customize the axis, click on the
button in toolbar. That will switch the lower left panel from Draw
Attributes to Axis Setup as shown below:
You may now change axis-related values such as
Range, Axis Length, Number of Divisions and Unit Values.
For example, changing the x range to -5,+15 will
result in the following:
If you prefer the the length of the x-axis does not
change after applying the range, then make sure that Fix axis
length is checked before changing the range as shown below.
Play with other attributes of axis and see the
results.
This problem is most
often due to an old driver for your computer's graphics cards.
Download the latest driver for your graphics card from the
manufacturer's website and install it. Then run the Graphing
Calculator 3D again and see the result.
If problem persists,
email us at support@runiter.org
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