The Functions Plotter

The Functions Plotter is an application to make graphically representation of functions or parameterized curves in the plane R2. Also, The Functions Plotter calculates line integrals forf two-variabled scalar or vectorial functions.

App Input and output


Enter the function to plot as follows:

1) If function to plot is on the form y = f(x), ie a function with 1-variabled real values, enter at the text box labeled x(t) the expression x and enter the function expression at textbox labeled with y(t), examples
if f(x,y) = e2x -> enter e^(2*x)
if f(x,y) = sin [e(2x)] -> enter sin(e^(2*x))

2) If function to plot is on the form (x(t), y(t), enters at box labeled x(t) function expression x( t) and the expresion y(t) at text box labeled with y(t), examples
if (x(t), y(t)) = (cos t, sin t) -> enter cos( t) at text box labeled as x(t) and sin( t) at text box labeled as y(t)
if (x(t), y(t)) = (e-t, 2t2) -> enter e^(-t) at text box labeled as x(t) and 2*t^2 at text box labeled as y(t)

3)Enter the interval at which the function is represented in "From" to the lower limit and "to" the upper limit.

4)Click the menu option "Show Graph" and appears after seconds the function graph representarion in the range introduced in the previous points.

5) To calculate a scalar line intetgral , click on the link labeled "Line Integral Scale Function", then a box will appear where you can enter a two variabled function f(x, y), Some examples are
If f(x,y) = e2xy -> enter e^(2*x*y)
If f(x,y) = sin e(2xy) -> enter sin(e^(2*x*y))
if you click on the link "Integrated Line" will be the numerical value obtained from the integral.

6) if you click on the li intetgral To calculate a vector line, click on the link labeled "Line Integral of Vector Function", then will appear two text boxes in which you can enter a vectorial two variabled function. Some examples are those of the previous point

if you click on the link "Integrated Vectorial Line" will appear the numerical value obtained from the integral.

Final comments


Plotter Functions perform calculations with 16 decimal digits accuracy limit, this is more than enough because the estimated truncation error in the calculations is always greater than K 1.0e.-16.

Functions Plotter does not require installation of any kind, just a browser with javascript support





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Post from other users

Emily:

2012-12-19 02:18:40
Could you make one like x=7 y= -2 and it plots it on a coordinate plane?

Demetrio:

2012-12-19 11:18:47
You can use the "parametric mode" (by clicking on the accordion to the left). and fill field, for example x=7 y=t Thats will plot the rect x=7 at interval what you want. Is this what you wanted?

nikhil:

2013-03-27 09:27:39
how to draw graphs of circle,hyperbola,parabola,ellipse and also graphs of y=sinx,cosx,tanx & inverse trigonometric functions

Admin:

2013-03-27 09:27:39
I don't understad your question, nikhil. This app does all what you are asking. for example, to plot sin x, you must introduze at field labeled with "f(x)" and pulse button "Plot f(x)".
Depending what you want, some other cases may require to find a parametrization




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