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3D Graphing Calculator

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3D coordinate plane

3D coordinate planeApproximate 3D example of z=sin(x)*cos(y). x and y range from −5 to 5, z from −3 to 3; green surface and three coordinate axes.xyz
x, y: −5…5 · z: −3…3

Drag to rotate. Use the mouse wheel or +/− to zoom. Arrow keys rotate and Home resets the view.

Graph settings

Axis ranges
Parameter ranges
Graph settings

Explore surfaces and space curves on the same 3D coordinate plane. Save expressions, colors, parameters and view settings together in one project file.

How to use it: formulas and limits

How do I plot a 3D graph?

Enter a two-variable surface such as z=sin(x)*cos(y), then select “Plot 3D graph”. Drag to rotate; use the mouse wheel, zoom controls or touch gestures to change the view. Up to eight expressions can share one coordinate space.

Supported expressions

z=x^2+y^2 is an explicit surface; x^2+y^2+z^2=9 is an implicit sphere. (cos(t),sin(t),t) is a helix and (u*cos(v),u*sin(v),u) is a parametric cone surface. (1,2,3) creates a point. The forms x=f(y,z) and y=f(x,z) also work. Edit t, u and v intervals in graph settings.

Variables and views

An expression such as a*x^2+y^2 creates an a slider. Radian or degree mode affects trigonometry. Axis minimum and maximum values define the plotted box. Perspective and orthographic projection, wireframe and opacity provide different ways to inspect the same shape. Front, top and right views reveal axis relationships.

Accuracy and plotting limits

Surfaces are numerical samples on a finite grid. Very small components, tangent points and high-frequency details may be missed. Undefined or non-finite values are omitted. Inequalities show a boundary surface and sample interior points; they do not represent the entire volume exactly. A graph is not proof of a root or intersection. A warning identifies a reached sampling limit.

Projects and PNG images

Expressions, colors, axis and parameter intervals, and camera settings travel together in a JSON project. Saving on this device is optional; use a file or copied share link for another device. PNG exports capture the visible plot. Calculation inputs are not sent to a plotting server.

Mathematics references: OpenStax — Calculus.

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