Recent content by Masgr404

  1. M

    Where is r(t) = (4sin³(t), 4cos³(t)) a smooth curve?

    The function is not continuous at that particular point that makes the denominator go to zero. Perhaps we could rewrite in the complex plane?
  2. M

    Where is r(t) = (4sin³(t), 4cos³(t)) a smooth curve?

    Homework Statement Determine where r(t) is a smooth curve for -pi <t<pi R(t)= (x(t),y(t))=(4sin^3(t), 4cos^3(t)) Homework Equations The Attempt at a Solution To be honest I have no idea where to start. I know what a smooth function is but my understanding is that the sin(t) and...