A clock's minute hand has length 4 and its hour hand length 3.
What is the distance between the tips at the moment when it is increasing most rapidly?
parametrize the two curves
4cos(60t) i +4sin(60t)j sub in Ai +BJ
3cos(t)i +3sin(t)j sub in Ci+Dj
note minute hand moves 60 times faster than hour hand
distance = sqrt( (A-C)^2+ (B-D)^2 )
want to maximize first derivative so set second derivative equal to zero!!!