Center for Fluid Mechanics, Turbulence and Computation ...
Desmos is a free online graphing calculator equipped with many available applications. Easy to use, the program can graph both 2-D and 3-D functions (however, it’s 2-D plotting abilities are much more developed.)Eli Luberoff founded Desmos in 2011 and has since been chief executive officer of the company. “He began working on the software […] during a year-long hiatus from Yale University in 2007, returning to graduate summa cum laude with degrees in Math and Physics in 2009. [Luberoff] was also selected by Bloomberg Businessweek as one of the top 25 entrepreneurs under 25 in 2011.” Desmos has received over $1,000,000 of funding from Kapor Capital, Learn Capital, Kindler Capital, Elm Street Ventures and Google Ventures.Desmos was designed to be accessible to users without backgrounds in coding. All he/she has to do is enter the equation into the calculator. Desmos will graph:Regular functionsRelationsInequalitiesPiecewise functionsPolar equationsParametric equationsDomain and range restrictionsPoints (fixed or movable)List expressionsRegressionsIntegralsEquations with derivativesPhase planesSlope fieldsAnd moreRegular Functions and the basicsTo graph a function into Desmos, simply enter it into the expression list bar, which is found at the left.262890079629002743200110490002628900-381002628900-3810003771900-381000182880010287000-4572003429000Below is a visual representation of the expression list bar’s features:5715001676400014859003048000251460030480004114800400685005257800400050003086100743585003886200743585001976120228600036576007620000457200457200022860009906000584200914400042291008445500308610084455001028700234950027432006159500-34290017589500-889003111500To graph multiple functions simultaneously, click on the empty row underneath the typed function.If you want to edit the axis, click on the top right icon labeled “Graph Settings.”-45720045720000Desmos also includes the ability to transform functions using sliders. Just add and define a new variable:RelationsIn addition plotting explicit functions, Desmos can graph implicit functions or relations:-685800387350025400013779500-889006921500InequalitiesDesmos highlights the areas of interest; gives a defined boundary a solid line; and denotes an excluded boundary by a dashed line:240030016002000-6858009144000-381001524000Piecewise functions-80010050990500Simply type the restrictions with {} parentheses following the equation or relation:Polar equationsDesmos can recognize r and theta as polar variables:-80010011366500Parametric equations-22860051054000To create a parametric equation, enter the output function in coordinates into the expression list bar. Make sure to use t as your variable:Equation with derivativesBy defining functions, the user can create such equations:-22987024384000Phase planes-57150028194000Using parametric equations, one can plot phase planes of functions:Slope fields059499500Desmos is also equipped with a slope field generator. Search “Desmos Slope Field Generator” to make use of it:3D plottingDesmos has a 3D plotter, which uses parametric lines to graph functions. Search “Desmos 3D Graph” to try it out:1905000For more information, take a look at this link: ................
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