### Still have math questions?

A capacitor has a voltage applied to it modeled by $$V = 24 \sin ( 250 t )$$ . The resulting current is found to be $$i = 3 \cos ( 250 t )$$ . Calculate the rate at which its power $$P$$ is changing when
$$t = 0.002 sec$$ . (Remember $$P = iV$$ ) Don't forget the units!