equals
25
negative 36.7
19.4
26
negative 12.6
18.4
27
equals
28
negative 25.6
11.9
29
30
negative 19.3
28.8
31
equals
32
negative 19.7
38
33
34
negative 21.9
25.3
35
equals
36
negative 29.4
28.1
37
38
39
negative 28.2
14.7
40
equals
41
negative 38.9
20
42
negative 10.1
20.8
43
Next follows the curve construction as a sum of function calls. You may add as many sums to function calls as you desire. A usage example follows:
44
( b(t,0,X1) + b(t,1,X2) + b(t, i ,Xi) , b(t,0,Y1) + b(t,1,Y2) + b(t,i,Yi))
45
0
less than or equal to "t" less than or equal to
1
46
Next point is defined by the same data as the above curve construction, but instead of using the automatic parameter 't' it uses the manual parameter 'T' which allows you to freely control a point on the curve. Remember to update this point coordinates as well when you redefine the curve above, or it will follow a different path.
47
equals
48
Have fun playing with T. Seriously, press the play button!
49
0
1
50
51
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Examples
Lines: Slope Intercept Form
example
Lines: Point Slope Form
example
Lines: Two Point Form
example
Parabolas: Standard Form
example
Parabolas: Vertex Form
example
Parabolas: Standard Form + Tangent
example
Trigonometry: Period and Amplitude
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Trigonometry: Phase
example
Trigonometry: Wave Interference
example
Trigonometry: Unit Circle
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Conic Sections: Circle
example
Conic Sections: Parabola and Focus
example
Conic Sections: Ellipse with Foci
example
Conic Sections: Hyperbola
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Polar: Rose
example
Polar: Logarithmic Spiral
example
Polar: Limacon
example
Polar: Conic Sections
example
Parametric: Introduction
example
Parametric: Cycloid
example
Transformations: Translating a Function
example
Transformations: Scaling a Function
example
Transformations: Inverse of a Function
example
Statistics: Linear Regression
example
Statistics: Anscombe's Quartet
example
Statistics: 4th Order Polynomial
example
Lists: Family of sin Curves
example
Lists: Curve Stitching
example
Lists: Plotting a List of Points
example
Calculus: Derivatives
example
Calculus: Secant Line
example
Calculus: Tangent Line
example
Calculus: Taylor Expansion of sin(x)
example
Calculus: Integrals
example
Calculus: Integral with adjustable bounds
example
Calculus: Fundamental Theorem of Calculus
example
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