16. Parametric Equations & Polar Coordinates

Cycloid

a. Find the length of one arch of the cycloid x = a(t − sin t), y = a(1 − cos t).

67–72. Derivatives Consider the following parametric curves.

a. Determine dy/dx in terms of t and evaluate it at the given value of t.

x = t + 1/t, y = t − 1/t; t = 1

Finding Parametric Equations and Tangent Lines

Find parametric equations for the given curve.

Line through (1,-2) with slope 3