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Calculus 2: Parametrized curves

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All Calculus 2Volumes of Solids of RevolutionIntegration by PartsTrigonometric IntegralsTrigonometric substitutionPartial fractionsImproper integralsStrategy for integrationArc lengthArea of a surface of revolutionIntroduction to differential equationsSeparable differential equationsLinear differential equationsParametrized curvesPolar coordinatesSequencesSeries and the integral testComparison testsAlternating series and absolute convergenceRatio and root testsPower series and representations of functionsTaylor and Maclaurin seriesApplications of Taylor polynomials
Reparameterizing Parametric Functions

Show that a parametric function tracing a curve can be re-parameterized to alter the rate at which the curve is traced without changing its shape.

Parametrized curvesMediumVideoNeeds Attention
Slope of Tangent Line to Parametrized Curve

Find the slope of the tangent line to a parameterized curve given functions x(t)x(t) and y(t)y(t).

Parametrized curvesMediumVideoNeeds Attention
Second Derivative of a Parameterized Curve

Find the second derivative of a parameterized curve given functions x(t)x(t) and y(t)y(t).

Parametrized curvesMediumVideoNeeds Attention