2D Curvature Demo | Desmos

Expression 4: "r" Subscript, "x" , Baseline left parenthesis, "t" , right parenthesis equals sine left parenthesis, 3 "t" plus StartFraction, pi Over 2 , EndFraction , right parenthesis

4

Expression 5: "r" Subscript, "y" , Baseline left parenthesis, "t" , right parenthesis equals 3sine left parenthesis, "t" , right parenthesis

5

Drawing Parameters for Vector Function

6

Drawing Parameters for Osculating Circle

13

Formula for Unit Tangent, Unit Normal, and Curvature.

18

25

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Examples

Lines: Slope Intercept Form

example

Lines: Point Slope Form

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Lines: Two Point Form

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Parabolas: Standard Form

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Parabolas: Vertex Form

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Parabolas: Standard Form + Tangent

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Trigonometry: Period and Amplitude

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Trigonometry: Phase

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Trigonometry: Wave Interference

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Trigonometry: Unit Circle

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Conic Sections: Circle

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Conic Sections: Parabola and Focus

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Conic Sections: Ellipse with Foci

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Conic Sections: Hyperbola

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Polar: Rose

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Polar: Logarithmic Spiral

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Polar: Limacon

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Polar: Conic Sections

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Parametric: Introduction

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Parametric: Cycloid

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Transformations: Translating a Function

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Transformations: Scaling a Function

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Transformations: Inverse of a Function

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Statistics: Linear Regression

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Statistics: Anscombe's Quartet

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Statistics: 4th Order Polynomial

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Lists: Family of sin Curves

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Lists: Curve Stitching

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Lists: Plotting a List of Points

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Calculus: Derivatives

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Calculus: Secant Line

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Calculus: Tangent Line

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Calculus: Taylor Expansion of sin(x)

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Calculus: Integrals

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Calculus: Integral with adjustable bounds

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Calculus: Fundamental Theorem of Calculus

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