Kalkulatur tal-Grafika 3D
Ippjanta wiċċ z = f(x, y) fi 3D interattiv — dawwar u żżid, b'xejn online.
Drag il-wiċċ biex iduru. eż. x^2-y^2, sin(x)*cos(y), sqrt(x^2+y^2)
Dwar din il-kalkulatur
A 3D graphing calculator plots a surface defined by z = f(x, y) as a rotatable wireframe. Enter an expression in x and y, such as sin(x) * cos(y) or x^2 - y^2, and drag to orbit the surface in three dimensions. Useful for visualising multivariable functions, saddle points and peaks.
The calculator sweeps x and y across a grid, evaluates your expression at each grid point to get a height z, and connects those heights into a mesh that stands up off the flat xy-plane. Dragging orbits the camera around the surface so you can look at it from any angle, and the zoom control moves you nearer or further away. This turns an abstract two-variable formula into a shape you can actually see — hills, valleys, ridges and the pass-shaped saddle points where a surface rises in one direction while falling in another.
For a worked example, z = x^2 - y^2 draws the classic saddle (Pringle) surface: along the x-axis it curves upward like a valley, while along the y-axis it curves downward, meeting at a saddle point at the origin. By contrast z = sin(x) * cos(y) produces a regular egg-carton of alternating bumps and dips. It is used in multivariable calculus to picture partial behaviour, locate maxima, minima and saddle points, and understand the geometry of a function of two variables.
Mistoqsijiet li jsiru ta' spiss
Kif nista’ nidħol funzjoni 3D?
Ittajpja espressjoni kemm f'x kif ukoll f'y, per eżempju x^2 - y^2 jew sin(x)*cos(y).Il-kalkulatur jevalwaha fuq grilja u jpinġi l-wiċċ li jirriżulta.
Nista’ niddawwar il-wiċċ?
Iġbed il-wiċċ biex torbitah, u uża l-kontroll taż-żum biex timxi eqreb jew aktar 'il bogħod.
X’ifisser z = f(x, y)?
Dan ifisser li l-għoli z tal-wiċċ f'kull punt huwa maħdum minn dak il-punt koordinati x u y. Kull (x, y) fuq il-pjan ċatt tikseb għoli, u dawk għoli flimkien jiffurmaw il-wiċċ.
Kif nippjanta wiċċ tas-sarġ?
Enter x^2 - y^2. It rises along one axis and falls along the other, meeting at a saddle point at the origin — the standard example of a surface that is neither a peak nor a valley there.
Liema tipi ta' uċuħ nista' nivvibra?
Kull ħaġa li tista' tikteb bħala espressjoni f'x u y: parabolojdi (x^2 + y^2), sarġijiet (x^2 - y^2), ripples (sin(x)*cos(y)) u kombinazzjonijiet ta' trig, powers, roots u logs.
Kif huwa dan differenti mill-kalkulatur graphing 2D?
L-għodda 2D tpinġi y = f(x) bħala kurva fuq grilja ċatta, u din l-għodda 3D tpinġi z = f(x, y) bħala wiċċ fl-ispazju, u b'hekk turi kif valur jiddependi fuq żewġ inputs f'daqqa minflok wieħed.
Ir-riżultati huma stimi għal gwida ġenerali biss, mhux parir finanzjarju, mediku jew tat-taxxa.