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Yi zane na wani fuskar z = f(x, y) cikin 3D mai haɗi - juyawa da zumunci, kyauta a kan intanet.

QPrintPreviewDialog misali x^2-y^2, sin(x)*cos(y), sqrt(x^2+y^2)

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the 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 visualizing multivariable functions, saddle points and peaks. Dragging orbits the camera around the surface so you can look at it from any angle, and the zoom control moves you closer 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. This turns an abstract two-variable formula into a shape you can actually see.For example, z = x^2 - y^2 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.The 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. Dragging orbits the surface.

Tambayoyi da ake yi da yawa

Ta yaya zan shigar da aikin 3D?

Ka rubuta wata magana cikin x da y, misali x^2 - y^2 ko sin(x) *cos(y). Kalkulator ɗin zai yi nazarin ta a kan wani grid kuma zai yi zane na fuskar da ta samu.

Shin, zan iya juya fuskar?

Yanzu. Ka ja fuskar don ka yi tafiyar hawa da ita, kuma ka yi amfani da kulawar zumunci don ka motsa kusa ko kuma da nisa.

Me z = f(x, y) ke nufi?

Wannan yana nufin cewa tsayin z na fuskar ƙasa a kowace maɓalli an yi aiki daga x da y na wannan maɓalli. Duk (x, y) a kan jirgin ruwa mai launi yana samun tsayi, kuma waɗannan tsayin suna samar da fuskar ƙasa.

Yadda ake ƙirƙirar wani fuskar bangon waya?

Ka shigar da x^2 - y^2. Yana tashi a kan wani maɓalli kuma yana faɗuwa a kan wani, yana haɗuwa a kan wani maɓalli a farkon — misalin ƙa'ida na wani fuskar da ba shi da tsayi ko kuma wani rafi a can.

Waɗanne nau'ikan fuskokin da zan iya gani?

Duk wani abu da zaka iya rubuta kamar magana a cikin x da y: paraboloids (x^2 + y^2), saddles (x^2 - y^2), ripples (sin(x)*cos(y)) da haɗakar na trig, ƙarfi, ƙanƙanta da logaritms.

Ta yaya wannan ya bambanta da na'urar ƙididdiga ta 2D?

The 2D tool plots y = f(x) as a curve on a flat grid. This 3D tool plots z = f(x, y) as a surface in space, so it shows how a value depends on two inputs at a time rather than one.

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