Question: When a particle moves in a plane so that x=2cos3t and y=sin3t, then the speed on the interval 0 =< t =< is a maximum when t equals ...
I took the derivatives of both x and y equations and put them in the speed formula. But now that I have the derivatives in the speed formula, I'm not sure what the next step is algebraically.
I have, all in the square root,
(36sin3t)^2 + (9cos3t)^2
So how do I expand that out and what are the next steps?