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Parametric equation

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please sketch the curve for the following parametric equation and show the table to plot points. Thank you.

(ii) For what parameter t does the slope of the line tangent to the graph at the point correspond to the value of the parameter -5? What are the rectangular coordinates at that point?

(iii) Write the parameterization as f(x) in rectangular coordinates. Simplify as much as possible.


Solution Summary

This provides an example of sketching a parametric equation, working with its tangent, and writing it as rectangular coordinates.