how to plot quadratic equation with 2 variable

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f(x,y)= 1/2*x^2 + x*y + y^2 + y
i tried plotting using Fimplicit function but i am getting some error. copied below
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>> fimplicit3(@(x,y) 1/2*x.^2+ x*y+ y.^2+y)
Warning: Function behaves unexpectedly on array inputs. To improve performance, properly vectorize your function to
return an output with the same size and shape as the input arguments.
> In matlab.graphics.function.ImplicitFunctionSurface>getFunction
In matlab.graphics.function.ImplicitFunctionSurface/updateFunction
In matlab.graphics.function.ImplicitFunctionSurface/set.Function
In matlab.graphics.function.ImplicitFunctionSurface
In fimplicit3>singleFimplicit (line 184)
In fimplicit3>@(f)singleFimplicit(cax,f,limits,extraOpts,args) (line 146)
In fimplicit3>vectorizeFimplicit (line 146)
In fimplicit3 (line 120)
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Also ince this is quadratic equation i was expecting a concave or convex figure but i am getting a cylindrical image.
can anyone explain...??

采纳的回答

Ameer Hamza
Ameer Hamza 2020-10-14
You need to use fsurf() and use element-wise operators in your function handle
fsurf(@(x, y) 1./2*x.^2+ x.*y+ y.^2+y)

更多回答(1 个)

KSSV
KSSV 2020-10-14
x = linspace(0,1) ;
y = linspace(0,1) ;
[X,Y] = meshgrid(x,y) ;
f = 1/2*X.^2 + X.*Y + Y.^2 + Y ;
surf(X,Y,f)

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