2009-06-02, 11:52 PM
Putting it into a calculator should be straightforward. Just set it to parametric mode.
Basically, instead of a function taking one argument (x) and transforming it into one value (y) as in y = 5x - 2, it's a function taking one argument (t) and transforming it into two values (x, y).
So for your problem, if t = 0, x = 0^3 = 0 and y = 0 - 2 = -2.
To convert to rectangular, you want to convert it to the form "y = (something)". You know that
y = t - 2
x = t^3
Treat it as a system of equations and solve for y in terms of x.
For part 3, insert the expression containing x in the inequality -3 <= t <= 5 and solve.
Basically, instead of a function taking one argument (x) and transforming it into one value (y) as in y = 5x - 2, it's a function taking one argument (t) and transforming it into two values (x, y).
So for your problem, if t = 0, x = 0^3 = 0 and y = 0 - 2 = -2.
To convert to rectangular, you want to convert it to the form "y = (something)". You know that
y = t - 2
x = t^3
Treat it as a system of equations and solve for y in terms of x.
For part 3, insert the expression containing x in the inequality -3 <= t <= 5 and solve.