Chapter 12.1, Problem 14E

(a)

To determine

To tabulate: The values of x, y and t for $x=t^3-1,y=5t+1;-3\le t\le 3$.

(b)

To determine

To complete: The parametric curve which indicates the positive orientation by plotting (x, y) coordinates from the table obtained in part (a).

(c)

To determine

To obtain: The equation in terms of x and y by eliminating the parameter t.

(d)

To determine

To describe: The curve whose parametric equation is defined as, $x=t^3-1,y=5t+1;-3\le t\le 3$.