For problems 1 6 eliminate the parameter for the given set of
parametric equations, sketch the graph of the parametric curve and give any
limits that might exist on x and y.
For problems 7 11 the path of a particle is given by the set
of parametric equations. Completely
describe the path of the particle. To
completely describe the path of the particle you will need to provide the
(i) A sketch of the parametric curve
(including direction of motion) based on the equation you get by eliminating
(ii) Limits on x and y.
(iii) A range of t’s for a single trace of the parametric curve.
(iv) The number of traces of the curve
the particle makes if an overall range of t’s
is provided in the problem.
For problems 12 14 write down a set of parametric equations
for the given equation that meets the given extra conditions (if any).