Graphing Calculator 3D 2.1

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Graphing Calculator 3D Help

Plotting functions...

How to plot a 2D function?

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.

How to plot a 3D function?

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:

  1. 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.

Rotating and Zooming

To rotate a graph use your mouse as follows:

  1. Move your mouse pointer over the 2D or 3D graph that you want to rotate.

  2. Press and hold the left key of the mouse.
  3. Start dragging the mouse and observe the graph as it rotates in real-time.
  4. 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:

  1. Move your mouse pointer over the 2D or 3D graph that you want to rotate.
  2. 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.

Simple examples

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))

List of operators, functions and constants

Click on the the button to see the keyboard that among other things lists the functions and constants currently supported by Graphing Calculator 3D.

Operators

Operator Description Example
+ Addition x+2
- Subtraction x-2
* Multiplication x*2
/ Division x/2
^ Power x^2

Constants

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

Functions

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

Changing graph appearance...

Changing color

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

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:

Customizing the Axis...

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.

Troubleshooting...

It crashes/exits as soon as I run it

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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