Certified calculator · Version 1

3D Function Plotter

Enter a supported expression in x and y and choose finite x/y ranges. CalcuMint samples a deterministic 17×17 surface grid and presents an interactive-style projected surface view from the same numeric output.

z = f(x,y)

Minimum xMaximum xMinimum yMaximum y

Finite surface points289

Sampled z minimum0

Sampled z maximum8

Grid17×17

CalcuMint Pro

Advanced Analysis

Compare plans

Advanced chartsExplore the result across time and assumptions.

Scenario comparisonCompare multiple assumptions side by side.

Sensitivity analysisSee which assumptions change the outcome most.

Goal SolverSolve backwards from the outcome you want.

Result methodology

A restricted deterministic expression engine evaluates the explicit surface on a finite rectangular grid. The projection consumes those same surface points.

3D surface projection

Projected from the full deterministic surface grid · z: 0 to 8

Solution steps

Parse z = x^2+y^2
Sample a 17×17 grid over x=[-2,2], y=[-2,2]
Retain 289 finite surface points

How this calculator works

The engine evaluates z=f(x,y) at each point of a 17×17 rectangular grid. Undefined samples are omitted rather than fabricated.

Formula

z=f(x,y)

Samples an explicit two-variable surface over a finite rectangular domain.

Worked example

Paraboloid is a verified test case used by the calculation engine.

Assumptions and limitations

This certified version supports explicit surfaces z=f(x,y).
The x and y domains must be finite and ordered.
A finite sampled surface may not reveal every feature between grid points.

Methodology & sources

This calculator uses deterministic, versioned calculation logic. The formula and verified examples above are part of the calculation definition used by CalcuMint.

CalcuMint deterministic expression engine — Restricted expression grammar with finite grid sampling.

Frequently asked questions

How many points are sampled?

The certified surface engine samples a 17×17 grid, up to 289 finite points.

Can the expression run arbitrary code?

No. It uses CalcuMint's restricted mathematical expression grammar.