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Calculation of curvature is given using the formula(1) wherefor a curve expressed in cartesian coordinatesand(2) for a curve given in parametric coordinates

Example:Find the curvature of

Use (1).

Now useto obtain

Sub into (1).

Example:Find the curvature of

Use (1).

.

Sub into (1).

Example:Find the curvature of the curve given by the parametric coordinates

Use (2).

Sub into (2).