Kalkaaliyihii 3D Graphing
Qora dusha z = f (x, y) in 3D interaction — wareega iyo zoom, free online.
Jiidi daboolka si aad u wareegto. tusaale ahaan x^2-y^2, sin(x)*cos(y), sqrt(x^2+y^2)
Ku saabsan Kalkaaliyahan
the 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 plot 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
Su'aalaha badanaa la isweydiiyo
Sideen u galaya shaqadii 3D?
Ku qor hadalka labada x iyo y, tusaale ahaan x^2 - y^2 ama sin (x) * cos (y). Kalkulatorku wuxuu qiimeeyaa iyada oo ku wareegsan grid iyo wuxuu soo bandhigayaa dhumucda ka dhalatay.
Ma ku wareegi karaa dhulka?
Haa. Ku riix daboolka si aad u wareegto, oo isticmaal xakamaynta zoom si aad u dhaqaaqdo si dhow ama ka fog.
Maxaa z = f (x, y) ka dhigan tahay?
Waxay ka dhigan tahay in dhererka z ee dhulka oo ah dhibcood kasta oo ka shaqeeyaa ka x iyo y coordinates dhibcood. kasta (x, y) on diyaaradda la qalajiyey hesho dhererka, iyo dhererka kuwaas oo wada abuuraan dhulka.
Sideen u abuuraa muuqaalka saddle?
X^2 - y^2. Waxay kor u kacdaa xagal mid ah, waxayna hoos u dhacdaa xagal kale, waxayna ku kulmaan xagal saqafka ah oo asalka ah — tusaale caadi ah oo ah dhul aan xad lahayn oo aan dooxada ahayn.
Maxaa noocyada daaqadaha aan ka arki karaa?
Wax kasta oo aad ku qorto sida eray x iyo y: paraboloids (x^2 + y^2), saddles (x^2 - y^2), ripples (sin (x) * cos (y)) iyo isku dhafka trig, awoodaha, root iyo logs.
Sidee ayaa tan ka duwan tahay 2D graphing xisaabinta?
2D qalabku wuxuu ku tuuraa y = f (x) sida xagal ku yaal xargaha siman. 3D qalabku wuxuu ku tuuraa z = f (x, y) sida dhul meel, sidaas darteed wuxuu muujinayaa sida qiimaha ku xiran yahay laba soo gelitaanka isla markiiba in ka badan mid.
Natiijooyinka waa tirakoobka loogu talagalay tilmaamaha guud oo keliya, maaha dhaqaale, caafimaad ama talo bixin canshuur.