Please upload the (.nb) file.
5. Do the following tasks using Mathematica
For a Parametric curve χ = χ (t) , y = y(t) the curvature at a point p is:
(a) Parametric equations of the cycloid are:
(b) Show that the curvature at top of any one of cycloid's arches is 1/4.
Hint: At top of any one of it's arches y is maximum
(c) Parametric equations of a circle of radius r are:
Show that the curvature of each point of a circle of radius r is K = 1/r
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