You are given the parametric equations [math]


(a) List all of the points [math] where the tangent line is horizontal. In entering your answer, list the points starting with the smallest value of [math]. If two or more points share the same value of [math], list those points starting with the smallest value of [math]. If any blanks are unused, type an upper-case "N" in them.

Point 1: [math] ( , )

Point 2: [math] ( , )

Point 3: [math] ( , )


(b) List all of the points [math] where the tangent line is vertical. In entering your answer, list the points starting with the smallest value of [math]. If two or more points share the same value of [math], list those points starting with the smallest value of [math]. If any blanks are unused, type an upper-case "N" in them.

Point 1: [math] ( , )

Point 2: [math] ( , )

Point 3: [math] ( , )