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Graphs Gallery

Here are several interesting graphs plotted with Advanced Grapher.

RegressionRegression
The equations of curves are obtained with the help of the regression analysis of the tabular data (which are shown by points)
Y(x)=-(1.1100319*10^(-8))*x^9 + (4.2010685*10^(-8))*x^8 + (4.8204417*10^(-6))*x^7 - (1.9123759*10^(-5))*x^6 - (6.0569249*10^(-4))*x^5 +0.0026407*x^4+ 0.0193816*x^3 - 0.0956714*x^2 + 1.6439131*x + 1.0095675 (polynomial regression, polynomial power is 9)
Y(x)=1.665949*x+1.3004023 (linear regression)
Cassini curveCassini curve
R(a)=2^2*cos(2*a)+sqrt(2.5^4-2^4*sin(2*a)^2)
Addition of oscillationsAddition of oscillations
Y(x)=sin(x+1)*3
Y(x)=sin(x+2)*2
Y(x)=sin(x+1)*3+sin(x+2)*2
SmoothingSmoothing
Table: 7 items
Damped oscillationsDamped oscillations
Y(x)=exp(-x/4)*10*cos(x*3)
Y(x)=exp(-x/4)*10
Y(x)=-exp(-x/4)*10
EllipseEllipse
3*x*x-2*x*y+x*4+y*8+3*y*y-8<0
3*x*x-2*x*y+x*4+y*8+3*y*y-8=0
EpicycloidEpicycloid
X(t)=(6+2)*cos(t)-2*cos((6+2)/2*t);
  Y(t)=(6+2)*sin(t)-2*sin((6+2)/2*t)

R(a)=6
Equation and inequalityEquation and inequality
x*sin(x)+y*sin(y)<0
x*sin(x)+y*sin(y)=0
Four-leaved roseFour-leaved rose
R(a)=7*sin(2*a)
Ortogonal oscillationsOrtogonal oscillations
X(t)=sin(2*t); Y(t)=sin(3*t)
ResonanceResonance
Y(x)=15/sqrt(4+(1.5*x-12/x)^2)
Y(x)=15/sqrt(18+(1.5*x-12/x)^2)
Slope fieldsSlope fields
dy/dx=1/x^2
dy/dx=x
Y(x)=-1/x
Y(x)=x*x/2-10
TangentsTangents
The equations of the tangents are obtained with the help of this program
R(a)=5
X(y)=5
Y(x)=-0.5913984*x+5.8089414
Y(x)=0.5773502*x+5.7735026
X(y)=-5
Y(x)=-0.5773504*x-5.773503
Y(x)=0.5773504*x-5.773503
Integer partInteger part
Y(x)=int(x)