7.1 Eliminating the parameter leaves the path · Parametric Equations · Visual Calculus

7.1Eliminate t

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Chapter 7 · Parametric Equations and Polar Coordinates

7.1-7.2Parametric Curves

7.1Moving trace 7.1Eliminate t 7.1Cycloid roulette 7.2Parametric slope 7.2Second derivative 7.2Swept area 7.2Arc length 7.2Surface area

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Home Calculus IISections 7.1-7.27.1 Eliminating the parameter leaves the path

7.1

Eliminating the parameter leaves the path

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ellipse0

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SymPy check = 4

SymPy checks

Cycloid arch width6.2831853072

Ellipse semi-major axis4

Astroid cusp count4

Parametric slope at t = 20.5

Parametric second derivative at t = 2-0.0625

Cycloid arch area9.4247779608

Radius-3 semicircle length9.4247779608

Unit sphere surface area12.5663706144