
From stephanie: Give parameterizations r(t)=x(t)i + y(t)j for the part of the parabola y=2xx^2, from (2,0) to (0,0). Sketch the curve using arrows to show direction for increasing t.
Essentially, i want to know how to determine the direction a particle is moving in for any curve, i have a vague idea using r'(t). Also, how do i parameterize? x=? and y=?
Ans: x=2t, y=2(2t)(2t)^2 Answered by Harley Weston. 